The Unit Circle - Worksheet 3 - 11th Grade

Easy

Practice exact trigonometric values and identities with angle units and domains stated.

easy: Use first-quadrant special angles.

20 problems · 20-25 minutes · Skills: trigonometry, unit circle, radians

About This Worksheet

This easy-level worksheet contains 20 problems designed for 11th Grade students practicing the unit circle. Easy worksheets use simpler numbers and straightforward problem types to build confidence and reinforce foundational skills.

Use radians, the unit circle and exact special-angle values.

  • Practice exact trigonometric values and identities with angle units and domains stated.
  • Check your result using the method in the example before moving to the next question.

How to Solve: Worked Example

Example Problem: Find the exact value of sin(π/4 radians).
Solution Steps:
  1. Locate the angle on the unit circle.
  2. Cosine is the x-coordinate; sine is the y-coordinate.
  3. Use the quadrant to determine the sign.
Answer: √2/2
Tip: Check your result using the method in the example before moving to the next question.
1
Find the exact value of sin(π/6 radians).
2
Find the exact value of cos(π/4 radians).
3
Find the exact value of sin(π/2 radians).
4
Find the exact value of cos(π/3 radians).
5
Find the exact value of sin(π/3 radians).
6
Find the exact value of cos(π/6 radians).
7
Find the exact value of sin(0 radians).
8
Find the exact value of cos(0 radians).
9
Find the exact value of sin(π/4 radians).
10
Find the exact value of cos(π/2 radians).
11
Find the exact value of sin(0 radians).
12
Find the exact value of cos(π/4 radians).
13
Find the exact value of sin(π/6 radians).
14
Find the exact value of cos(π/3 radians).
15
Find the exact value of sin(π/6 radians).
16
Find the exact value of cos(π/6 radians).
17
Find the exact value of sin(π/4 radians).
18
Find the exact value of cos(0 radians).
19
Find the exact value of sin(0 radians).
20
Find the exact value of cos(0 radians).

Answer Key

1. 1/22. √2/23. 14. 1/25. √3/26. √3/27. 08. 19. √2/210. 011. 012. √2/213. 1/214. 1/215. 1/216. √3/217. √2/218. 119. 020. 1

Frequently Asked Questions

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What skills does this trigonometry worksheet cover?

This worksheet focuses on trigonometry, unit circle, radians. It is designed for 11th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.

How many problems are on this worksheet?

This worksheet contains 20 problems. It typically takes 20-25 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.