Trigonometry Quizzes, Questions & Answers

Dive into our engaging trigonometry quizzes designed to sharpen your skills and boost your confidence. Read more

Trigonometric Ratios Quizzes

Sine Cosine Tangent (6) Reciprocal Ratios (5) Right Triangle Ratios (4) Triangle Sides (5)

2616 Scatter Plot Transformations Reciprocals

1/x (or reciprocal x) and 1/y (or reciprocal y) transformations

Questions: 16 | Attempts: 293 | Last updated: Oct 14, 2025

Sample Question
The 1/y (or reciprocal y) transformation linearises the scatter plot by :

Turning the y values into 1/y values

Compressing the y axis values

Stretching the y axis values

Leaving the x axis values the same

A right triangle is a triangle in which one angle is a right angle. The relation between the sides and angles of a right triangle is the basis for trigonometry. For practice on thi...

Questions: 9 | Attempts: 962 | Last updated: Mar 21, 2025

Sample Question
For the right triangle ABC shown below, what is tanA?

A/c

B/c

A/b

B/a

Trigonometric Ratios Quiz: Math Trivia Test!

Embark on a mathematical adventure with our "Trigonometric Ratios Quiz"! Designed for students and enthusiasts alike, this quiz challenges your understanding of the funda...

Questions: 18 | Attempts: 22636 | Last updated: Aug 19, 2025

Sample Question
Find sin(A).

7/25

24/7

24/25

Trigonometry Quiz: Calculate Unknown Side Lengths!

This Trigonometry Quiz assesses your ability to calculate unknown side lengths using trigonometric ratios. It covers the use of Sin, Cos, and Tan to find side lengths in right tria...

Questions: 13 | Attempts: 994 | Last updated: Mar 22, 2025

Sample Question
What trig ratio should be used to calculate either side a or h?

Sin ϴ

Cos ϴ

Tan ϴ

Trigonometric Identities Quizzes

Pythagorean Identities (3) Reciprocal Identities (3) Quotient Identities (3) Co Function Identities (7) Even Odd Identities (3) Double Angle Formulas (3) Half Angle Formulas (5) Sum And Difference (4)

Trigonometric Identities Quiz

Trigonometry is one of the core branches of Mathematics dealing with angles and calculations. This Trigonometric Identities quiz will gauge your understanding of the complex and in...

Questions: 10 | Attempts: 9580 | Last updated: Sep 05, 2025

Sample Question
Which of these is the identity of Sin 2x?

Cos^2 x + Sin^2 x

2SinxCosx

SinxCosx + CosxSin x

Sin^2 x

Double-Angle Formulas: Simplify & Evaluate Quiz

Now that you know the double-angle formulas, it’s time to apply them! This quiz focuses on simplifying and evaluating expressions using double-angle identities. You’ll ...

Questions: 20 | Attempts: 10 | Last updated: Oct 31, 2025

Sample Question
Simplify sin(2θ) when sinθ = 4/5 and θ is in Quadrant II.

24/25

−24/25

7/25

−7/25

Double-Angle Formulas: Identity Proof & Derivation Quiz

Get ready to explore how one angle can double the excitement! In this quiz, you’ll prove and derive the double-angle formulas for sine, cosine, and tangent — including ...

Questions: 20 | Attempts: 10 | Last updated: Oct 31, 2025

Sample Question
Which identity is correct for all real θ?

Sin(2θ)=2 sin²θ

Sin(2θ)=2 sinθ cosθ

Sin(2θ)=sin²θ−cos²θ

Sin(2θ)=1−2 cos²θ

Double-Angle Applications with Pythagorean Identity Quiz

In this quiz, you’ll connect double-angle formulas to geometry, triangles, and the unit circle. You’ll apply sin(2θ) and cos(2θ) to find missing trig values...

Questions: 20 | Attempts: 10 | Last updated: Oct 31, 2025

Sample Question
If sinθ = 3/5 and θ is in Quadrant II, find cosθ.

4/5

−4/5

−3/5

3/5

Even–Odd Trig Identities: Proof & Verification Quiz

Are you ready to discover how flipping angles affects trig functions? In this quiz, you’ll explore how sine, cosine, and tangent respond when you replace θ with −...

Questions: 20 | Attempts: 10 | Last updated: Oct 31, 2025

Sample Question
Which statement is always true?

Sin(−x) = sin(x)

Cos(−x) = −cos(x)

Tan(−x) = −tan(x)

Sec(−x) = −sec(x)

Even–Odd Trig Identities: Apply & Simplify Quiz

Can you simplify tricky trig expressions using symmetry rules? In this quiz, you’ll apply the even–odd identities to expressions that mix positive and negative angles. ...

Questions: 20 | Attempts: 10 | Last updated: Oct 31, 2025

Sample Question
Simplify using even/odd: sin(−x) + sin(x).

2 sin x

1

2 cos x

Even–Odd, Unit Circle & Radian Understanding Quiz

Ready to connect even–odd patterns to the unit circle? In this quiz, you’ll use radians and coordinates on the circle to explain why sine changes sign but cosine doesn&...

Questions: 20 | Attempts: 10 | Last updated: Oct 31, 2025

Sample Question
Convert 150 degrees to radians.

2π/5

3π/5

5π/6

π/4

6th Grade Math Formulas Quiz

Are you in 6th grade? Do you find math an easy or tough subject? Well, we have here a special 6th grade math formulas quiz for you if you find it challenging to remember different ...

Questions: 10 | Attempts: 1487 | Last updated: Oct 13, 2025

Sample Question
For the area of a parallelogram, what's the formula?

B= (AH)

A= (BH)

H= (BA)

A= (2BH)

Pythagorean Identity Application Quiz

Ready to turn sin²θ + cos²θ = 1 into fast answers? In this quiz, you’ll use the identity plus quadrant signs to find missing sin, cos, and tan values fr...

Questions: 20 | Attempts: 10 | Last updated: Oct 31, 2025

Sample Question
If sin²(θ) + cos²(θ) = 1 and sin(θ) = 3/5 with θ in QII, what is cos(θ)?

−4/5

4/5

3/5

−3/5

Pythagorean Forms & Trig Identities Mixed Practice Quiz

Put it all together—proofs, simplifications, and quick evaluations using the Pythagorean family. You’ll flip between tan/sec and cot/csc forms, verify identities, and u...

Questions: 20 | Attempts: 10 | Last updated: Oct 31, 2025

Sample Question
Which identity is equivalent to 1 + tan²(θ) = sec²(θ)?

Sin²(θ) + cos²(θ) = 1

1 + sin²(θ) = csc²(θ)

1 + cot²(θ) = csc²(θ)

Tan²(θ) = sec²(θ) − 1

Proving the Pythagorean Identity Quiz

Go from “know it” to “show it.” You’ll prove sin²θ + cos²θ = 1 from the unit circle, generate the derived forms (1 + tan²&t...

Questions: 20 | Attempts: 10 | Last updated: Oct 31, 2025

Sample Question
Which expression equals 1 by the Pythagorean identity?

Sin²θ + cos²θ

Tan²θ + 1

Sin²θ − cos²θ

Sec²θ − 1

Quotient Identities Proof Practice Quiz

Lock in tan θ = sin θ / cos θ and cot θ = cos θ / sin θ. You’ll prove small equalities (like tan·cos = sin), spot non-identities, a...

Questions: 20 | Attempts: 10 | Last updated: Oct 31, 2025

Sample Question
Which identity is correct for tan(θ)?

Tan(θ) = cos(θ)/sin(θ)

Tan(θ) = sin(θ)/sec(θ)

Tan(θ) = sin(θ)·cos(θ)

Tan(θ) = 1/cot(θ) only

Quotient Identities Simplify & Verify Quiz

Speed round: convert between tan, cot, sec, csc and sin/cos to simplify, verify identities, and evaluate at common angles. Expect reciprocal/quotient swaps, cancellations, and quic...

Questions: 20 | Attempts: 10 | Last updated: Oct 31, 2025

Sample Question
Simplify: (sin x)/(cos x)

Sec x

Csc x

Tan x

Cot x

Quotient Identities: Radians & Unit Circle Quiz

Connect the algebra to the circle. Convert degrees↔radians, read (cos θ, sin θ) from the unit circle, and use quadrant signs to evaluate sin, cos, and tan. By the ...

Questions: 20 | Attempts: 10 | Last updated: Oct 31, 2025

Sample Question
Convert 225° to radians.

3π/4

5π/4

7π/6

9π/8

Reciprocal Identities Proof and Simplification Quiz

Flip with confidence. You’ll prove and use sec = 1/cos, csc = 1/sin, and cot = cos/sin to rewrite, simplify, and evaluate expressions—no fluff, just smart substitutions...

Questions: 20 | Attempts: 10 | Last updated: Oct 31, 2025

Sample Question
Which reciprocal identity is correct?

Tan(θ) = 1/cos(θ)

Cos(θ) = 1/sec(θ)

Sec(θ) = 1/sin(θ)

Csc(θ) = 1/tan(θ)

Reciprocal Identities Unit Circle & Domain Quiz

Know where functions live—and where they blow up. Use unit-circle coordinates and radian angles to decide when sec, csc, and cot are defined, evaluate exact values, and solve...

Questions: 20 | Attempts: 10 | Last updated: Oct 31, 2025

Sample Question
Which reciprocal identity is always true?

Tan θ = 1/cot θ

Cos θ = 1/sec θ

Sin θ = 1/csc θ

All of the above

Reciprocal Identities Application Quiz

Turn definitions into shortcuts. Expect quick simplifications (like sin·csc = 1), sign checks by quadrant, and triangle/unit-circle setups to evaluate sec, csc, and cot. You...

Questions: 20 | Attempts: 10 | Last updated: Oct 31, 2025

Sample Question
Simplify: sinθ/cscθ + cosθ/secθ

1

2

Sinθ + cosθ

Trigonometri Jumlah dan Selisih Sudut

Explore the intriguing world of trigonometry in angles and their relationships. This quiz assesses your understanding of sum and difference identities, focusing on acute angles and...

Questions: 5 | Attempts: 457 | Last updated: Mar 20, 2025

Sample Question
Diketahui sudut A dan sudut B adalah sudut lancip. Jika cos A = 4/5 dan cos B = 24/25. Tentukanlah nilai cos(a+B) ?

1/5

2/5

3/5

4/5

Trig Graphs Quizzes

Sine Graph (1) Cosine Graph (5) Cotangent Graph (3) Secant Graph (3) Cosecant Graph (5) Amplitude And Period (5) Phase Shift (3) Vertical Shift (3)

Advanced Techniques in Trigonometric Graphing and Identities

Enhance your understanding of trigonometric functions with this focused assessment. Master graphing techniques for sin, cos, tan, and their reciprocals, delve into phase shifts, id...

Questions: 8 | Attempts: 11 | Last updated: Oct 14, 2025

Sample Question
What determines the period of the function y=a sin(bx+c)+d

Period is equal to c

Period is equal to a

Period is equal to d

Period is equal to b

Graphs of Trigonometric Functions Assessment Test

Are you good at solving advanced-level trigonometric problems? With the graphs of the trigonometric functions assessment test, you check how well you know about these functions. Ta...

Questions: 10 | Attempts: 502 | Last updated: Aug 22, 2025

Sample Question
How many trigonometric functions are there?

3

4

5

6

Trigonometric Graphs Test

How good is your trigonometric knowledge? Take this trigonometric graphs test, and see how well you practiced trigonometry functions and graphs. If you have been practicing the top...

Questions: 10 | Attempts: 383 | Last updated: Aug 22, 2025

Sample Question
What is the shape of a cosine graph like?

Banana

Dracula Teeth

Mountain

Orange

Cotangent Graphs: Period, Asymptotes, Shifts & Midlines Quiz

Meet cotangent’s signature look: decreasing curves between evenly spaced asymptotes. In this quiz, you’ll find the period, zeros, and asymptotes, and you’ll see h...

Questions: 21 | Attempts: 10 | Last updated: Oct 31, 2025

Sample Question
What is the period of y = cot(x)?

π

2π

π/2

1

Build the Cotangent Function from Its Graph Quiz

From sketch to symbol! You’ll read off asymptotes and intercepts, note whether the graph is decreasing, and then write the cotangent equation that matches. Expect practice pi...

Questions: 20 | Attempts: 10 | Last updated: Oct 31, 2025

Sample Question
A cotangent graph has vertical asymptotes at x = 0 and x = π, and an x-intercept at x = π/2. Which equation matches?

Y = cot(x)

Y = cot(2x)

Y = cot(x − π/2)

Y = 2cot(x)

Model Real-World Periodic Behavior with Cotangent Quiz

Use cotangent to describe repeating changes in the real world. You’ll compare periods, decide when a horizontal compression or shift is needed, and choose equations that capt...

Questions: 21 | Attempts: 10 | Last updated: Oct 31, 2025

Sample Question
Which equation matches Graph A in the figure?

Y = tan(x)

Y = cot(x)

Y = cot(2x)

Y = 2cot(x)

Phase Shift Basics: Identify Horizontal Shifts in Trig Functions

How far did the graph slide? This quiz is all about spotting horizontal shifts quickly. You’ll rewrite equations to a clean “shifted” form and decide whether a gr...

Questions: 20 | Attempts: 10 | Last updated: Oct 31, 2025

Sample Question
What is the phase shift of y = sin(x − π/3)?

π/3 to the left

π/3 to the right

π/6 to the right

π/6 to the left

From Shifted Graphs to Equations: Phase Shift Mastery

Take a graph with a moved peak, trough, or midline crossing and write its exact equation. You’ll keep the amplitude and period the same while locking in the correct shift. Cl...

Questions: 20 | Attempts: 10 | Last updated: Oct 31, 2025

Sample Question
Which equation represents the graph of y = sin(x) shifted π/3 units to the right?

Y = sin(x + π/3)

Y = sin(x − π/3)

Y = sin(π/3 − x)

Y = sin(−x + π/3)

Modeling with Phase Shifts: Real-World Trig Translations

Line up your model with real timing. You’ll choose phase shifts so maxima, minima, or zero crossings land at the right moments. Explain how the shift affects when events happ...

Questions: 20 | Attempts: 10 | Last updated: Oct 31, 2025

Sample Question
Which function represents a cosine graph shifted π/3 units to the right?

Y = cos(x + π/3)

Y = cos(x − π/3)

Y = cos(x) + π/3

Y = cos(x) − π/3

Secant Graphs: Period, Asymptotes, Shifts & Range Quiz

See how secant rides on cosine! You’ll use the reciprocal relationship to place vertical asymptotes where cosine is zero, find the U-shaped branches, and read the period, shi...

Questions: 20 | Attempts: 10 | Last updated: Oct 31, 2025

Sample Question
What is the relationship between the secant function and the cosine function?

Sec(x) = 1/cos(x)

Sec(x) = cos(x)

Sec(x) = −cos(x)

Sec(x) = 1/sin(x)

Build the Secant Function from Its Graph Quiz

Turn a secant graph into an equation. You’ll read the distance between asymptotes to get the period, use the vertex height to find the vertical scale and shift, and pinpoint ...

Questions: 20 | Attempts: 10 | Last updated: Oct 31, 2025

Sample Question
A secant graph has period π, vertical asymptotes at x = −3π/4, −π/4, π/4, 3π/4, … and a minimum value of y = −2 at x = 0.

Y = −2 sec(2x)

Y = −2 sec(4x)

Y = 2 sec(2x)

Y = −2 sec(2x − π)

Model Periodic Phenomena with Secant/Cosecant Quiz

Make sense of scenarios that rise and fall around an average level. You’ll interpret domain restrictions (where secant is undefined), connect the period to timing, and explai...

Questions: 20 | Attempts: 10 | Last updated: Oct 31, 2025

Sample Question
Which identity correctly defines the secant function?

Sec(x) = 1/cos(x)

Sec(x) = 1/sin(x)

Sec(x) = cos(x)/sin(x)

Sec(x) = sin(x) + cos(x)

Sinusoidal Modeling Quiz

What do you know about sinusoidal modeling in math? Are you ready to take this sinusoidal modeling quiz? A sine wave, sinusoidal wave, or you can say just sinusoid, is known as a m...

Questions: 10 | Attempts: 222 | Last updated: Aug 16, 2025

Sample Question
The equation of the graph is

Y = 3 cos x

Y = 4 cos x

Y = 6 cos x

Y = 5 cos x

Vertical Shift & Midline Identification Quiz

See the baseline at a glance! You’ll find the midline, read how far the graph moved up or down, and connect amplitude to the max and min values. Expect quick “what&rsqu...

Questions: 20 | Attempts: 10 | Last updated: Oct 31, 2025

Sample Question
For the function y = 3 sin(x) + 2, what is the vertical shift and the midline?

Shift up 3; midline y = 3

Shift up 2; midline y = 2

Shift down 2; midline y = −2

No vertical shift; midline y = 0

Write Sinusoidal Equations with Vertical Shifts Quiz

Build equations that sit at the right height. You’ll translate specs like “midline at y = −3” or “max at 7, min at −1” into clean sine or ...

Questions: 20 | Attempts: 10 | Last updated: Oct 31, 2025

Sample Question
The function y = −2 sin(4x) − 5 is formed by shifting y = −2 sin(4x). What is the shift, and how does it affect amplitude?

Shift up 5; amplitude becomes 3

Shift down 5; amplitude remains 2

Shift up 5; amplitude remains 2

Shift down 5; amplitude becomes 7

Apply and Interpret Vertical Shifts in Trig Graphs Quiz

Turn graphs into stories. You’ll explain what the vertical shift means in context (average temperature, center height, baseline level), compute ranges, and compare models tha...

Questions: 20 | Attempts: 10 | Last updated: Oct 31, 2025

Sample Question
The function y = sin(x) + 4 is a vertical translation of y = sin(x). What is the midline of the new function?

Y = 0

Y = −4

Y = 1

Y = 4

Inverse Trig Quizzes

Inverse Sine (3) Inverse Cosine (5) Inverse Tangent (3) Graphs Of Inverses (5) Principal Values (2) Real World Use (5)

Advanced Trigonometry: Identities, Graphs, and Formulas

Explore the depths of trigonometric identities, formulas, graphing techniques, and inverse functions. This exercise enhances understanding of complex trigonometric concepts, crucia...

Questions: 14 | Attempts: 11 | Last updated: Sep 13, 2025

Sample Question
Graph one complete cycle of 4(cos 2x - ? /2).

4(cos 2x)

4(sin 2x)

4(cos2x−1/2)

4(cos x - 1/2)

Ultimate High School Math Trivia

Dive into the world of high school mathematics with this Ultimate High School Math Trivia. Test your knowledge on topics like angles in radians, like terms, simultaneous equations,...

Questions: 15 | Attempts: 1731 | Last updated: Mar 21, 2025

Sample Question
What is 90 degrees in terms of pi?

Pi/4

Pi

2(pi)

Pi/2

Inverse Sine: Evaluate & Interpret (Principal Values)

Get comfortable with arcsin by learning how to interpret, evaluate, and connect inverse sine to the unit circle. In this quiz, you’ll find exact values like π/6, π/4, a...

Questions: 20 | Attempts: 10 | Last updated: Nov 10, 2025

Sample Question
Evaluate arcsin(1/2) in radians.

π/6

π/3

π/4

π/2

Solve Equations with Inverse Sine

Ready to turn sine equations into angles? This quiz helps you use arcsin to solve equations of the form sin(x) = k, identify principal values, and interpret additional solutions wh...

Questions: 20 | Attempts: 10 | Last updated: Nov 10, 2025

Sample Question
Solve for x (principal value): sin(x) = 1/2.

π/3

π/4

π/6

−π/6

Real-World Modeling with Inverse Sine

Apply arcsin to realistic situations — from ramps, ladders, and waves to motion and design problems. You’ll model physical relationships like θ = arcsin(opposite ...

Questions: 20 | Attempts: 10 | Last updated: Nov 10, 2025

Sample Question
A cable exerts tension T = 800 N at angle θ, producing a vertical component Tᵥ = 400 N. Find θ in degrees.

22.5°

30°

45°

60°

Inverse Tangent: Evaluate & Interpret (Principal Values)

Explore how the arctangent (arctan) function links slopes, ratios, and angles. This quiz focuses on evaluating arctan values, identifying the correct principal range (–π/2...

Questions: 20 | Attempts: 10 | Last updated: Nov 10, 2025

Sample Question
Evaluate arctan(1) in radians.

π/6

π/4

π/3

π/2

Solve Equations with Inverse Tangent

Explore how the arctangent (arctan) function links slopes, ratios, and angles. This quiz focuses on evaluating arctan values, identifying the correct principal range (–π/2...

Questions: 20 | Attempts: 10 | Last updated: Nov 10, 2025

Sample Question
Evaluate arctan(1) in radians.

π/4

π/6

π/3

π/2

Real-World Modeling with Inverse Tangent

Connect mathematics to real-life scenarios involving slopes, elevations, and viewing angles. Students apply an inverse tangent to determine angles of elevation, depression, and inc...

Questions: 20 | Attempts: 10 | Last updated: Nov 10, 2025

Sample Question
A ship is 500 m from a 100 m cliff. Find the angle of elevation to the top of the cliff (nearest tenth).

9.5°

10.8°

11.3°

12.0°

Principal Values: Defining Inverse Trig & Restricted Domains

Learn how inverse trigonometric functions are defined by carefully restricting domains to make them valid functions. This quiz focuses on identifying correct domain and range pairs...

Questions: 20 | Attempts: 10 | Last updated: Nov 10, 2025

Sample Question
Which function has an inverse only if its domain is restricted to [−π/2, π/2]?

Sin(x)

Tan(x)

Cos(x)

Csc(x)

Solve Equations & Model with Principal Values

Apply principal values to real-life and modeling scenarios. This quiz connects inverse trigonometric equations to geometric contexts like ladders, ramps, hills, and slopes. Student...

Questions: 20 | Attempts: 10 | Last updated: Nov 10, 2025

Sample Question
Solve sin(x) = 1/2 for the principal value.

X = π/6

X = 5π/6

X = −π/6

X = π/2

Trigonometry practice test questions and answers

Increase your math skills with these trigonometry practice test questions and answers. Trigonometry is the branch of mathematics that is concerned with specific functions of angles...

Questions: 15 | Attempts: 14682 | Last updated: Mar 13, 2025

Sample Question
Value of , for = 1 Where 0° < < 90° is:

30°

60°

45°

135°

Solving Triangles Quizzes

Sohcahtoa Method (6) Law Of Sines (5) Law Of Cosines (9) Ambiguous Case (6) Finding Angles (5) Area Of Triangle (5) Heron Formula (3)

Do you know your math? Trigonometry quiz

Trigonometry is the study of the relationship between lengths and angles of triangles. We covered a lot of trigonometry problems I the past few weeks. Do you think you understood t...

Questions: 10 | Attempts: 80585 | Last updated: Mar 21, 2025

Sample Question
What is the correct formula to find the Pythagorean Theorem?

A2+b2=c2

B2+c2=a2

A2+c2=b2

Area of Triangles

Take the assigned math quiz. This will be a good practice for your quiz in class.

Questions: 6 | Attempts: 5920 | Last updated: Apr 15, 2025

Sample Question
1. What does the letter b stand for in the formula A = bh

Area

Base

Height

Length

Trigonometry: Calculating Unknown Angles

Assesses and reinforces the student's understanding and ability to use the basic trig ratios to calculate unknown angles for right triangles.

Questions: 12 | Attempts: 968 | Last updated: Sep 14, 2025

Sample Question
What ratio should be used to calculate ϴ?

Sine

Cosine

Tanget

Heron’s Formula Basics: Semiperimeter, Validity & Setup

Are you ready to get a triangle’s area using only its three side lengths? This quiz walks you through Heron’s idea: first check the triangle inequality, then take half ...

Questions: 20 | Attempts: 10 | Last updated: Nov 10, 2025

Sample Question
What is the formula for the semiperimeter of a triangle with sides a, b, and c?

S = a + b + c

S = ½(a + b + c)

S = (a + b + c)/3

S = (a × b × c)½

Compute Triangle Areas with Heron’s Formula

Build the foundation: verify side lengths form a triangle, compute the semiperimeter, and set up the product that leads to the area. You’ll decide when Heron’s Fo...

Questions: 20 | Attempts: 10 | Last updated: Nov 10, 2025

Sample Question
Find the area of a triangle with sides 3, 4, and 5.

6

8

10

12

Real-World Area Problems Using Heron’s Formula

Put the method to work on friendly triples and messy decimals alike. You’ll compute areas step by step, round sensibly, and cross-check special cases (like right triangles) a...

Questions: 20 | Attempts: 10 | Last updated: Nov 10, 2025

Sample Question
A triangular park has sides 3 m, 4 m, and 5 m. What is the park’s area?

6 m²

8 m²

9 m²

10 m²

Class 10 Math Maestros: Conquer the Quiz Challenge!

Are you ready to test your math skills with an engaging challenge? This "Maths Quiz Class 10" is designed to sharpen your problem-solving abilities and boost your confide...

Questions: 15 | Attempts: 120246 | Last updated: May 06, 2025

Sample Question
Which term of the progression 4, 9, 14,... is 109?

12

18

20

22

Trig Quiz for Geometry

This quiz is assess the basic ratio properties of trig.

Questions: 7 | Attempts: 418 | Last updated: Sep 23, 2025

Sample Question
In the following triangle, what is sin A = ?

5/12

12/5

5/13

12/13

SOHCAHTOA: Identify Ratios & Use Pythagoras in Right Triangles

Develop a solid understanding of the trigonometric ratios sine, cosine, and tangent using the SOHCAHTOA method. This quiz focuses on identifying sides relative to an angle, computi...

Questions: 20 | Attempts: 10 | Last updated: Nov 10, 2025

Sample Question
In a right triangle, the opposite side to angle θ is 9 and the hypotenuse is 15. What is sin θ?

4/5

3/5

9/12

5/3

Apply SOHCAHTOA: Solve for Unknown Sides & Angles

Apply the SOHCAHTOA ratios to find missing sides, angles, and distances. This quiz emphasizes practical problem-solving using trigonometric functions with both numeric and algebrai...

Questions: 20 | Attempts: 10 | Last updated: Nov 10, 2025

Sample Question
In right triangle ABC with right angle at C, if sin(A) = 3/5, what is cos(A)?

4/5

3/5

5/3

3/4

Model Real Situations with SOHCAHTOA

Connect trigonometry to real-life measurement and design problems. This quiz presents applied contexts such as determining heights of buildings, distances across water, ladder posi...

Questions: 20 | Attempts: 10 | Last updated: Nov 10, 2025

Sample Question
A flagpole casts an 18 m shadow when the sun’s elevation is 35°. Find the flagpole’s height to the nearest tenth.

12.6 m

10.8 m

13.7 m

15.8 m

Find Missing Sides with Sine, Cosine, & Tangent

Get ready to put trigonometry into action. In this quiz, you will use sine, cosine, and tangent to find unknown sides in right triangles. Each problem gives you one or more sides a...

Questions: 20 | Attempts: 10 | Last updated: Nov 10, 2025

Sample Question
In a right triangle, angle A = 30°. If the hypotenuse is 12, find the side opposite A.

4√3

6

6√3

10

Mixed Practice: Trig Ratios + Pythagorean for Side Lengths

Think you can juggle multiple methods? In this quiz, you’ll mix SOHCAHTOA with the Pythagorean Theorem to solve multi-step problems. You’ll move between ratios and squa...

Questions: 20 | Attempts: 10 | Last updated: Nov 10, 2025

Sample Question
In a right triangle, angle A = 30°. The side adjacent to A is 5. Find the hypotenuse.

5√2

10√3 / 3

10

5√3

Heights, Distances, & Slopes with Right-Triangle Trig

Ready to see how trig powers real measurements? This quiz puts you in practical scenarios—ladders, ramps, shadows, lines of sight, cables, and slopes. You’ll choose the...

Questions: 20 | Attempts: 10 | Last updated: Nov 10, 2025

Sample Question
A ladder leans against a wall making a 70° angle with the ground. The ladder is 10 ft long. How high does it reach?

9.5 ft

10 ft

9.4 ft

8.9 ft

Real World Applications Quizzes

Heights And Distances (5) Angle Of Elevation (5) Angle Of Depression (3) Navigation Bearings (5) Shadows And Towers (3) Sound And Light Waves (3) Engineering Design (5) Astronomy And Orbits (3)

Angle of Depression: Setting Up Right-Triangle Relationships

Build the habit of sketching and labeling right away so you can spot which trig ratio to use. You’ll translate real scenes (cliffs, balconies, drones) into right triangles, m...

Questions: 20 | Attempts: 10 | Last updated: Nov 10, 2025

Sample Question
From the top of a 60 m building, the angle of depression to a car on level ground is 25°. What is the horizontal distance to the car?

28 m

128 m

140 m

64 m

Real-World Modeling with Angles of Depression/Elevation

Apply the method to lifelike contexts—lighthouses, cranes, ramps, drones, and roads. You’ll read what the numbers mean (slope, visibility, clearance), decide whether yo...

Questions: 20 | Attempts: 10 | Last updated: Nov 10, 2025

Sample Question
From the roof of a 42 m building, the angle of depression to a truck is 19°. What is the horizontal distance to the truck (nearest meter)?

116 m

128 m

122 m

132 m

Angle of Depression Problems: Calculate Horizontal, Vertical & Slant Distances

Put the setups to work. Use tan, sin, and cos to find horizontal distances, heights, and line-of-sight lengths from angles and one known side. You’ll choose the right equatio...

Questions: 20 | Attempts: 10 | Last updated: Nov 10, 2025

Sample Question
From the top of a 60 m lighthouse, the angle of depression to a boat is 25°. What is the horizontal distance from the base to the boat (nearest meter)?

140 m

126 m

112 m

224 m

Solving right angled triangles

This quiz titled 'Solving Right Angled Triangles' assesses learners on their ability to solve problems involving right triangles. It encompasses calculations of side lengths, angle...

Questions: 5 | Attempts: 907 | Last updated: Mar 21, 2025

Sample Question
In a right angle triangle ABC, AB = 6 cm, AC = 10 cm and angle ABC = 90 degrees. The length of side BC is

11.7 cm

16 cm

8 cm

10 cm

Understanding Trigonometric Orbit Models

Explore how planets, moons, and satellites move in predictable, repeating paths. In this quiz, you will identify the amplitude, period, and phase shift of orbital models, understan...

Questions: 20 | Attempts: 10 | Last updated: Nov 10, 2025

Sample Question
A planet’s x-position (in AU) is modeled by x(t) = 2 cos(π t), where t is in years and the y-position is y(t) = 2 sin(π t). What is the orbital period?

1/2 year

1 year

2 years

4 years

Creating and Adjusting Orbit Models

Use trigonometric equations to build and adjust realistic orbital models. You will create formulas that describe motion around planets or stars, determine how to change amplitude, ...

Questions: 20 | Attempts: 10 | Last updated: Nov 10, 2025

Sample Question
A satellite orbits Earth with altitude modeled by h(t) = 420 + 35 cos(2πt/90), where h is in km and t is in minutes. What is the maximum altitude?

420 km

385 km

455 km

35 km

Applying Trigonometric Models to Real Orbits

Apply trigonometric motion models to analyze real data from satellites, moons, and planets. You will interpret graphs, calculate maximum and minimum distances, and relate time and ...

Questions: 20 | Attempts: 10 | Last updated: Nov 10, 2025

Sample Question
A satellite’s distance from Earth’s center is modeled by d(t) = 6800 + 400 cos(0.25 t) km, where t is in hours. What is the maximum distance?

6400 km

6800 km

7200 km

7600 km

Advanced Trigonometric Concepts and Applications Quiz

Explore the complexities of trigonometric equations in this focused module. Dive into solving trigonometric equations, enhancing problem-solving skills, and applying mathematical t...

Questions: 30 | Attempts: 10 | Last updated: Aug 04, 2025

Sample Question
1 Radian = .

45 Degrees

360 Degrees

180/? Degrees

90 Degrees

Structural Supports and Forces

From ladders and cables to beams and braces, structures rely on angles and forces for strength and balance. In this quiz, you’ll use trigonometric ratios to calculate le...

Questions: 20 | Attempts: 10 | Last updated: Nov 11, 2025

Sample Question
An engineer is designing a support beam that makes a 60° angle with the ground. If the vertical height must be 12 m, what is the beam’s length?

12 m

13.9 m

14 m

24 m

Bridge Cable Angles

Bridge cables carry enormous loads, and their strength depends on precise angles. In this quiz, you’ll apply trigonometric modeling to find cable lengths, vertical supports, ...

Questions: 20 | Attempts: 10 | Last updated: Nov 11, 2025

Sample Question
A bridge cable forms a 65° angle with the roadway. If the vertical tower is 120 m tall, what is the length of the cable (nearest meter)?

132 m

133 m

134 m

135 m

Ramp and Incline Design

Ramps aren’t just about accessibility — they’re precision-engineered structures based on slope and angle. In this quiz, you’ll calculate incline angles...

Questions: 20 | Attempts: 10 | Last updated: Nov 11, 2025

Sample Question
A wheelchair ramp must rise 0.75 m over a horizontal distance of 9 m. What is the angle of inclination?

5°

6°

7°

8°

Engineering Design → Roof Truss Analysis

Strong roofs start with strong trusses — and trigonometry is at the heart of their design. In this quiz, you’ll calculate angles, rises, and side lengths in triang...

Questions: 20 | Attempts: 10 | Last updated: Nov 11, 2025

Sample Question
A triangular roof truss has a 40° pitch angle. If half the base is 5 m, what is the rise (nearest tenth)?

3.2 m

3.5 m

4.1 m

4.4 m

x006 Trigonometry - Find a Missing Side

X006 Trigonometry - Find a Missing Side assesses the ability to calculate the length of a missing side in various geometric shapes using trigonometric principles. Each question req...

Questions: 31 | Attempts: 404 | Last updated: Jan 06, 2025

Sample Question
Find the length of the missing side, marked 'x', correct to one decimal place.

16.9

Bearings in Trigonometry! Trivia Quiz

Challenge your understanding of bearings in trigonometry with this engaging quiz. Test your skills with practical questions on finding bearings between points.

Questions: 10 | Attempts: 2084 | Last updated: Mar 21, 2025

Sample Question
For the above diagram,find the bearing of A from OYou do not have to write the word "degrees"

070

Shadows and Towers: Use Trig to Find Heights & Shadow Lengths

Turn sun–shadow scenes into clean right-triangle setups. You’ll practice choosing the correct ratio (mostly tan = height/shadow), rearranging to solve for unknown heigh...

Questions: 20 | Attempts: 10 | Last updated: Nov 10, 2025

Sample Question
A 15 m flagpole casts a 20 m shadow. What is the sun’s angle of elevation (nearest degree)?

37°

41°

53°

62°

Use proportional reasoning and similar triangles to link different objects casting shadows at the same time. You’ll scale heights and shadows, translate “same sun angle...

Questions: 20 | Attempts: 10 | Last updated: Nov 10, 2025

Sample Question
A 1.6 m pole casts a 2.0 m shadow. At the same time, a tree’s shadow is 7.5 m. What is the tree’s height (nearest tenth of a meter)?

5.6 m

5.8 m

6.0 m

6.2 m

Real Applications of Shadows, Towers, and Sun Angles

Apply the toolkit to richer contexts: mixed units, slant distances, and observations from different points. You’ll decide whether to find horizontal distance, vertical height...

Questions: 20 | Attempts: 10 | Last updated: Nov 10, 2025

Sample Question
A 12 m lamppost casts a 7 m shadow on level ground. What is the angle of elevation of the sun (nearest degree)?

29°

40°

59°

60°

Read Waveforms: Amplitude, Period, Frequency, Phase & Midline

Learn how sound and light waves behave by identifying key features such as amplitude, frequency, period, and phase shift. You will interpret equations and graphs to find maximum an...

Questions: 20 | Attempts: 10 | Last updated: Nov 10, 2025

Sample Question
A sound wave is modeled by y(t) = 0.6 sin(4π t)… What is the frequency?

2 Hz

4 Hz

0.6 Hz

1 Hz

Build Wave Models: From Specs to Sine/Cosine (and Back)

Practice writing and adjusting equations for sound and light waves. You will work with amplitude, frequency, and phase to model waves that match given conditions. This quiz focuses...

Questions: 20 | Attempts: 10 | Last updated: Nov 10, 2025

Sample Question
S(t) = 0.4 sin(8π t − π/3). Frequency?

2

4

8

16

Apply Trig Waves to Sound & Light in Context

Explore how trigonometric wave equations apply to real-world examples like musical tones, LED lights, and oscillating signals. You will analyze given equations, identify features s...

Questions: 20 | Attempts: 10 | Last updated: Nov 10, 2025

Sample Question
P(t) = 0.8 sin(440·2π t). Frequency?

0.8

220

440

880

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