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Trig Graphs Quizzes, Questions & Answers

All Grades

Popular Trig Graphs Topics

Sine Graph
Sine Graph (4)
Cosine Graph
Cosine Graph (5)
Tangent Graph
Tangent Graph (2)
Cotangent Graph
Cotangent Graph (5)
Secant Graph
Secant Graph (5)
Cosecant Graph
Cosecant Graph (2)
Amplitude & Period
Amplitude & Period (4)
Phase Shift
Phase Shift (5)
Vertical Shift
Vertical Shift (5)

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: 5534  |   Last updated: Mar 22, 2025
  • Sample Question
    Select the equation represented by the graph below.
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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: 519  |   Last updated: Aug 22, 2025
  • Sample Question
    How many trigonometric functions are there?
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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: 243  |   Last updated: Aug 16, 2025
  • Sample Question
    The equation of the graph is
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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
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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: 13  |   Last updated: Jan 19, 2026
  • Sample Question
    The graph of y = 2cos(3x) has which amplitude and period?
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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: 12  |   Last updated: Dec 03, 2025
  • Sample Question
    What is the amplitude of y = 3cos(x)?
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All Cosine Graph Quizzes

Tangent Graph Quizzes


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: 13  |   Last updated: Dec 16, 2025
  • Sample Question
    The set of zeros of y = tanθ is {θ = kπ | k ∈ ℤ}.
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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.
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All Tangent Graph Quizzes

Cotangent Graph Quizzes


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: 11  |   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.
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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: 11  |   Last updated: Jan 22, 2026
  • Sample Question
    What is the period of y = cot(x)?
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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: Jan 22, 2026
  • Sample Question
    Which equation matches Graph A in the figure?
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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).
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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.
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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: Jan 22, 2026
  • Sample Question
    What is the relationship between the secant function and the cosine function?
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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: Jan 19, 2026
  • Sample Question
    What is the period of y = csc(x)?
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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: Jan 19, 2026
  • Sample Question
    A cosecant graph has period π and midline y = 0. Which equation fits?
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All Cosecant Graph Quizzes

Amplitude and Period Quizzes


Amplitude Focus (Sine, Cosine, Cosecant, Secant)


Questions: 20  |   Attempts: 12  |   Last updated: Jan 19, 2026
  • Sample Question
    What is the amplitude of y = -8sin(x)?
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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: 12  |   Last updated: Jan 19, 2026
  • Sample Question
    What is the amplitude of y = -9sin(x)?
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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: 11  |   Last updated: Jan 19, 2026
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    What is the period of y = sin(4x)?
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All Amplitude and Period Quizzes

Phase Shift Quizzes


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: 12  |   Last updated: Jan 22, 2026
  • Sample Question
    Which function represents a cosine graph shifted π/3 units to the right?
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Phase Shift Quiz: Phase Shift as a Horizontal Translation of Sine and Cosine Graphs

How do horizontal shifts affect sine and cosine graphs? In this quiz, you’ll explore how phase shifts translate wave patterns along the x-axis and change the timing of peaks,...

Questions: 20  |   Attempts: 11  |   Last updated: Dec 17, 2025
  • Sample Question
    In y = cos(x − C), positive C shifts right.
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Phase Shift Parameter Quiz: Identifying Phase Shift Parameter

How can you identify the exact phase shift from a trig equation? In this quiz, you’ll learn to read transformation parameters accurately, isolate the horizontal shift, and co...

Questions: 20  |   Attempts: 11  |   Last updated: Dec 17, 2025
  • Sample Question
    Give the phase shift for y = 5·cos(6(x − π/12)) − 4.
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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: Jan 22, 2026
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    For the function y = 3 sin(x) + 2, what is the vertical shift and the midline?
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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: Jan 22, 2026
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    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?
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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: Jan 22, 2026
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    The function y = sin(x) + 4 is a vertical translation of y = sin(x). What is the midline of the new function?
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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: 388   |  Last updated: Aug 22, 2025
  • Sample Question 1
    What is the shape of a cosine graph like?
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Pre-calculus Mid-term Review: Trigonometric Graphs

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

Questions: 8  |  Attempts: 112   |  Last updated: Mar 11, 2025
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Recent Trig Graphs Quizzes

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