Trig Graphs Quizzes, Questions & Answers

Dive into our engaging Trig Graphs quizzes designed to enhance your understanding of trigonometric functions and their graphical representations. Read more

Sine Graph Quizzes

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

All Sine Graph Quizzes

Cosine Graph Quizzes

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

Period of Cosine Functions

How do you know how long it takes for a cosine wave to complete one full cycle? This quiz helps you practice identifying the period of different cosine functions. You’ll...

Questions: 20 | Attempts: 10 | Last updated: Oct 12, 2025

Sample Question
What is the period of y = cos(3x)?

2π

6π

2π/3

2π

Amplitude of Cosine Functions

Amplitude tells you how “tall” a cosine wave is from the midline to its peak. In this quiz, you’ll explore how coefficients affect the amplitude of cosine fu...

Questions: 20 | Attempts: 10 | Last updated: Oct 12, 2025

Sample Question
What is the amplitude of y = 3cos(x)?

1

2

3

1/3

All Cosine Graph Quizzes

Cotangent Graph Quizzes

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)

All Cotangent Graph Quizzes

Secant Graph Quizzes

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)

All Secant Graph Quizzes

Cosecant Graph Quizzes

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

JEE Main Mathematics: Trigonometry Set 1 Quiz!

JEE Main Mathematics: Trigonometry Set 1 Quiz assesses key skills in trigonometry, crucial for engineering entrance exams. It helps learners evaluate their understanding and readin...

Questions: 10 | Attempts: 241 | Last updated: Mar 21, 2025

Sample Question

Pre-Calculus Mid-Term Review: Trigonometric Graphs

The following are types of problems you can expect on the Mid-Term Exam.

Questions: 8 | Attempts: 111 | Last updated: Mar 11, 2025

Sample Question

A)

B)

C)

D)

All Cosecant Graph Quizzes

Amplitude And Period Quizzes

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

Amplitude Focus (Sine, Cosine, Cosecant, Secant)

Questions: 20 | Attempts: 10 | Last updated: Oct 14, 2025

Sample Question
What is the amplitude of y = -8sin(x)?

-8

8

Undefined

Period Focus (Sine, Cosine, Tangent, Cotangent)

How often does a trig curve repeat itself? That’s what the period tells us. In this quiz, you’ll explore how coefficients inside the function stretch or squeeze the gra...

Questions: 20 | Attempts: 10 | Last updated: Oct 14, 2025

Sample Question
What is the period of y = sin(4x)?

π/2

2π

π

4π

All Amplitude And Period Quizzes

Phase Shift Quizzes

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

All Phase Shift Quizzes

Vertical Shift Quizzes

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

All Vertical Shift Quizzes

Trig Graphs Quizzes, Questions & Answers

Popular Trig Graphs Topics

Sine Graph Quizzes

Cosine Graph Quizzes

Cotangent Graph Quizzes

Secant Graph Quizzes

Cosecant Graph Quizzes

Amplitude And Period Quizzes

Phase Shift Quizzes

Vertical Shift Quizzes

Top Trending Trig Graphs Quizzes