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Matching Trig Graphs - Printable Math Worksheets 11th Grade - Wayground

Matching Trig Graphs

Ann Coughlin

Created by Ann Coughlin

15 questions

11th Grade

Math

Matching Trig Graphs is a Grade 11 mathematics worksheet that develops students’ ability to identify which equation corresponds to a given trigonometric graph. It contains 15 multiple-choice items, each asking students to compare a displayed graph with several equation choices and select the matching representation. This free printable worksheet gives students focused practice connecting graphical and algebraic forms of trigonometric functions. It can support independent practice, guided review, or a quick check of students’ ability to use visual evidence when matching graphs to equations. A complete answer key is included so teachers can review selections efficiently and address uncertainty about why one equation matches a graph more closely than the alternatives.

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Matching Trig Graphs

Total questions: 15

Name
Class
Date
1.
Which of the equations matches the graph shown?

Which of the equations matches the graph shown?

a)

y=sin⁡(x)y=\sin\left(x\right)

b)

y=cos⁡(x)y=\cos\left(x\right)

c)

y=−sin⁡(x)y=-\sin\left(x\right)

d)

y=−cos⁡(x)y=-\cos\left(x\right)

2.
Which of the equations matches the graph shown?

Which of the equations matches the graph shown?

a)

y=sin⁡(x)y=\sin\left(x\right)

b)

y=cos⁡(x)y=\cos\left(x\right)

c)

y=−sin⁡(x)y=-\sin\left(x\right)

d)

y=−cos⁡(x)y=-\cos\left(x\right)

3.
Which of the equations matches the graph shown?

Which of the equations matches the graph shown?

a)

y=sin⁡(x)y=\sin\left(x\right)

b)

y=cos⁡(x)y=\cos\left(x\right)

c)

y=−sin⁡(x)y=-\sin\left(x\right)

d)

y=−cos⁡(x)y=-\cos\left(x\right)

4.
Which of the equations matches the graph shown?

Which of the equations matches the graph shown?

a)

y=sin⁡(x)y=\sin\left(x\right)

b)

y=cos⁡(x)y=\cos\left(x\right)

c)

y=−sin⁡(x)y=-\sin\left(x\right)

d)

y=−cos⁡(x)y=-\cos\left(x\right)

5.
Which of the equations matches the graph shown?

Which of the equations matches the graph shown?

a)

y=tan⁡(x)y=\tan\left(x\right)

b)

y=cot⁡(x)y=\cot\left(x\right)

c)

y=−tan⁡(x)y=-\tan\left(x\right)

d)

y=−cot⁡(x)y=-\cot\left(x\right)

6.
Which of the equations matches the graph shown?

Which of the equations matches the graph shown?

a)

y=tan⁡(x)y=\tan\left(x\right)

b)

y=cot⁡(x)y=\cot\left(x\right)

c)

y=−tan⁡(x)y=-\tan\left(x\right)

d)

y=−cot⁡(x)y=-\cot\left(x\right)

7.
Which of the equations matches the graph shown?

Which of the equations matches the graph shown?

a)

y=tan⁡(x)y=\tan\left(x\right)

b)

y=cot⁡(x)y=\cot\left(x\right)

c)

y=−tan⁡(x)y=-\tan\left(x\right)

d)

y=−cot⁡(x)y=-\cot\left(x\right)

8.
Which of the equations matches the graph shown?

Which of the equations matches the graph shown?

a)

y=tan⁡(x)y=\tan\left(x\right)

b)

y=cot⁡(x)y=\cot\left(x\right)

c)

y=−tan⁡(x)y=-\tan\left(x\right)

d)

y=−cot⁡(x)y=-\cot\left(x\right)

9.
Which of the equations matches the graph shown?

Which of the equations matches the graph shown?

a)

y=csc⁡(x)y=\csc\left(x\right)

b)

y=sec⁡(x)y=\sec\left(x\right)

c)

y=−csc⁡(x)y=-\csc\left(x\right)

d)

y=−sec⁡(x)y=-\sec\left(x\right)

10.
Which of the equations matches the graph shown?

Which of the equations matches the graph shown?

a)

y=csc⁡(x)y=\csc\left(x\right)

b)

y=sec⁡(x)y=\sec\left(x\right)

c)

y=−csc⁡(x)y=-\csc\left(x\right)

d)

y=−sec⁡(x)y=-\sec\left(x\right)

11.
Which of the equations matches the graph shown?

Which of the equations matches the graph shown?

a)

y=csc⁡(x)y=\csc\left(x\right)

b)

y=sec⁡(x)y=\sec\left(x\right)

c)

y=−csc⁡(x)y=-\csc\left(x\right)

d)

y=−sec⁡(x)y=-\sec\left(x\right)

12.
Which of the equations matches the graph shown?

Which of the equations matches the graph shown?

a)

y=csc⁡(x)y=\csc\left(x\right)

b)

y=sec⁡(x)y=\sec\left(x\right)

c)

y=−csc⁡(x)y=-\csc\left(x\right)

d)

y=−sec⁡(x)y=-\sec\left(x\right)

13.
Which of the equations matches the graph shown?

Which of the equations matches the graph shown?

a)

y=tan⁡(2x)y=\tan\left(2x\right)

b)

y=tan⁡(x)+2y=\tan\left(x\right)+2

c)

y=tan⁡(x−2)y=\tan\left(x-2\right)

d)

y=2tan⁡(x)y=2\tan\left(x\right)

14.
Which of the equations matches the graph shown?

Which of the equations matches the graph shown?

a)

y=sec⁡(−x)y=\sec\left(-x\right)

b)

y=sec⁡(x+1)y=\sec\left(x+1\right)

c)

y=sec⁡(x)−1y=\sec\left(x\right)-1

d)

y=−sec⁡(x)y=-\sec\left(x\right)

15.
Which of the equations matches the graph shown?

Which of the equations matches the graph shown?

a)

y=2csc⁡(x)y=2\csc\left(x\right)

b)

y=csc⁡(x)+2y=\csc\left(x\right)+2

c)

y=csc⁡(2x)y=\csc\left(2x\right)

d)

y=csc⁡(x+2)y=\csc\left(x+2\right)

WaygroundAnswer Key

Matching Trig Graphs

Total questions: 15

1.
a)

y=sin⁡(x)y=\sin\left(x\right)

2.
b)

y=cos⁡(x)y=\cos\left(x\right)

3.
c)

y=−sin⁡(x)y=-\sin\left(x\right)

4.
d)

y=−cos⁡(x)y=-\cos\left(x\right)

5.
a)

y=tan⁡(x)y=\tan\left(x\right)

6.
c)

y=−tan⁡(x)y=-\tan\left(x\right)

7.
b)

y=cot⁡(x)y=\cot\left(x\right)

8.
d)

y=−cot⁡(x)y=-\cot\left(x\right)

9.
a)

y=csc⁡(x)y=\csc\left(x\right)

10.
c)

y=−csc⁡(x)y=-\csc\left(x\right)

11.
b)

y=sec⁡(x)y=\sec\left(x\right)

12.
d)

y=−sec⁡(x)y=-\sec\left(x\right)

13.
b)

y=tan⁡(x)+2y=\tan\left(x\right)+2

14.
c)

y=sec⁡(x)−1y=\sec\left(x\right)-1

15.
a)

y=2csc⁡(x)y=2\csc\left(x\right)

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FAQs

What does the Matching Trig Graphs worksheet cover?

This Grade 11 mathematics worksheet focuses on matching each displayed trigonometric graph to its corresponding equation. Across 15 multiple-choice questions, students strengthen their ability to connect a graph’s visual representation with the correct algebraic form.

How can I use this worksheet to teach students to match trigonometric graphs and equations?

First, model how to compare a displayed trigonometric graph with the equation choices, emphasizing evidence from the graph rather than a quick visual guess. Then have students solve a few of the 15 multiple-choice items in pairs and explain why their selected equation fits better than the alternatives before completing the remaining questions independently.

What mistakes should I watch for when students complete this trigonometric graph-matching worksheet?

Students may choose an equation because it looks generally similar without checking all of the graph’s visible features. Watch for selections based on one matching detail while overlooking another, and ask students to identify the specific evidence in the graph that supports their chosen equation.

How do I assign and grade the Matching Trig Graphs worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key. Printable submissions can be graded by scanning student work with the Wayground for Teachers app, while the digital quiz can be assigned through the platform for online completion.

How can I differentiate the Matching Trig Graphs worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing and font size so the 15 graph-and-equation choices are easier to read. You can also select a dyslexia-friendly font or translate the worksheet into another language when those options better support students’ access to the directions and answer choices.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to help students build essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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