Trig Graphs Quizzes, Questions & Answers

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Sine Graph Quizzes

Graphing Trigonometric Functions Quiz! Exam

Below are the graphs of the six trigonometric functions: sine, cosine, tangent, cosecant, secant, and cotangent. In this quiz, you will have to identify the equation of a graphed t...

Questions: 10 | Attempts: 5525 | Last updated: Mar 22, 2025

Sample Question
Select the equation represented by the graph below.

Y = cos(x)

Y = sin(x)

Y = tan(x)

Y = -sin(x)

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: 504 | Last updated: Aug 22, 2025

Sample Question
How many trigonometric functions are there?

3

4

5

6

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: 227 | 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

GCSE Hardest Trivia Questions Quiz! Math Practice Test

Challenge your math skills with the GCSE Hardest Trivia Questions Quiz! This practice test includes selecting smallest and largest numbers, identifying square numbers, determining ...

Questions: 22 | Attempts: 340 | Last updated: Sep 20, 2025

Sample Question
Select the SMALLEST number

$2.31$

$2.3 with. on top$

$2.33$

$2.301$

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: 11 | Last updated: Dec 03, 2025

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

1

2

3

1/3

Trig Graph → Cosine Graphs: Mixed Practice

Ready to put everything together? This quiz gives you a mix of cosine and sine questions where you’ll apply what you’ve learned about period, amplitude, midline, a...

Questions: 20 | Attempts: 11 | Last updated: Dec 03, 2025

Sample Question
The graph of y = 2cos(3x) has which amplitude and period?

Amplitude 3, period 2π

Amplitude 2, period 2π/3

Amplitude 1, period 3π

Amplitude 2, period 3π

All Cosine Graph Quizzes

Tangent Graph Quizzes

Unit Circle Interpretation Quiz: Fundamental Shape and Unit Circle Interpretation

Curious about what the unit circle truly represents? In this quiz, you’ll explore how the circle’s geometry connects angles, coordinates, and trigonometric values. You&...

Questions: 20 | Attempts: 10 | Last updated: Dec 16, 2025

Sample Question
Between any two consecutive vertical asymptotes, the graph of y = tanθ is strictly increasing.

True

False

Domain Range Asymptotes Quiz: Domain, Range, and Vertical Asymptotes

How do domain, range, and vertical asymptotes reveal a function’s behavior? In this quiz, you’ll examine how restrictions arise, how outputs stretch or compress, and wh...

Questions: 20 | Attempts: 10 | Last updated: Dec 16, 2025

Sample Question
The set of zeros of y = tanθ is {θ = kπ | k ∈ ℤ}.

True

False

All Tangent Graph Quizzes

Cotangent Graph Quizzes

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: 11 | Last updated: Dec 11, 2025

Sample Question
Which equation matches Graph A in the figure?

Y = tan(x)

Y = cot(x)

Y = cot(2x)

Y = 2cot(x)

Cotangent Sign Monotonicity Quiz: Cotangent Sign & Monotonicity

What causes cotangent’s sign and slope to shift across the coordinate plane? In this quiz, you’ll explore how cotangent behaves within different quadrants, analyze inte...

Questions: 20 | Attempts: 10 | Last updated: Dec 16, 2025

Sample Question
As θ → 0^+, what is the behavior of cotθ?

+∞

−∞

1

Cotangent Periodicity Quiz: Cotangent Periodicity Odd Symmetry

How does cotangent repeat its behavior across the coordinate plane? In this quiz, you’ll explore cotangent’s periodic nature and discover how odd symmetry shapes its gr...

Questions: 20 | Attempts: 10 | Last updated: Dec 16, 2025

Sample Question
For all θ where defined, cot(θ+π)=cotθ and cot(−θ)=−cotθ can both hold without contradiction.

True

False

All Cotangent Graph Quizzes

Secant Graph Quizzes

Secant Branch Behavior Quiz: Secant Branch Behavior Between Asymptotes

What happens to secant between its vertical asymptotes? In this quiz, you’ll study how secant curves form separate branches, observe how they move away from cosine’s ze...

Questions: 20 | Attempts: 10 | Last updated: Dec 16, 2025

Sample Question
The points θ = kπ are local extrema of y = secθ (where defined).

True

False

Secant Range Quiz: Secant Range & Excluded Values

Why does secant have such a distinctive range with excluded values? In this quiz, you’ll explore how secant’s relationship to cosine influences its allowed outputs and ...

Questions: 20 | Attempts: 10 | Last updated: Dec 17, 2025

Sample Question
Select all correct implications of the range for graphing y = secθ.

There are horizontal gaps for −1 < y < 1

Each branch stays entirely above y = 1 or entirely below y = −1

Vertices occur at y = ±1

The graph crosses y = 0 at θ = kπ

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: Dec 11, 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)

All Secant Graph Quizzes

Cosecant Graph Quizzes

Characteristics of Cosecant Graphs

Think you know cosecant? In this quiz, you’ll explore its wild curves, vertical asymptotes, and reflections. From figuring out where the graph shoots off to infinity to ...

Questions: 20 | Attempts: 10 | Last updated: Dec 03, 2025

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

π

2π

π/2

4π

Matching Graphs to Functions

Can you match the equation to its graph? This quiz puts your skills to the test. You’ll analyze shifts, flips, midlines, and ranges to decide which function fits the pic...

Questions: 20 | Attempts: 10 | Last updated: Dec 03, 2025

Sample Question
A cosecant graph has period π and midline y = 0. Which equation fits?

Y = csc(x) + 2

Y = 2csc(x)

Y = csc(x/2) + 2

Y = csc(2x)

All Cosecant Graph Quizzes

Amplitude And Period Quizzes

Applied/Descriptive Questions

Trig graphs aren’t just abstract curves — they’re tools for modeling real cycles and patterns. In this quiz, you’ll work with applied problems involvin...

Questions: 20 | Attempts: 11 | Last updated: Dec 03, 2025

Sample Question
What is the period of y = sin((5/2)x- π)?

4π/5

5π/2

2π/5

π/5

Mixed Amplitude & Period (All Six Functions)

Ready for a challenge? This quiz mixes it up with all six trig functions — sine, cosine, tangent, cotangent, secant, and cosecant. You’ll practice identifying amplitude...

Questions: 20 | Attempts: 11 | Last updated: Dec 03, 2025

Sample Question
What is the amplitude of y = -9sin(x)?

-9

9

Undefined

Amplitude Focus (Sine, Cosine, Cosecant, Secant)

Questions: 20 | Attempts: 10 | Last updated: Dec 03, 2025

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

-8

8

Undefined

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: Dec 11, 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: Dec 11, 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: Dec 11, 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: Dec 11, 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: Dec 11, 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: Dec 11, 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

Top Trending Trig Graphs 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 topic well, it will be an easy quiz for you. Give it...

Questions: 10 | Attempts: 385 | Last updated: Aug 22, 2025

Sample Question 1
What is the shape of a cosine graph like?

Banana

Dracula Teeth

Mountain

Orange

Recent Trig Graphs Quizzes

Pre-calculus Mid-term Review: Trigonometric Graphs

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)

E)

Trig Graphs Quizzes, Questions & Answers

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