Inverse Trig Functions - Worksheet 2 - 12th Grade

Easy

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

easy: Start with the preview and follow the worked example.

18 problems · 20-25 minutes · Skills: trigonometry, inverse functions, domain

About This Worksheet

This easy-level worksheet contains 18 problems designed for 12th Grade students practicing inverse trigonometric functions. 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 principal value of arcsin(√3/2) in radians.
Solution Steps:
  1. The range of arcsin is [−π/2, π/2].
  2. Choose the angle in that range with the given trig value.
Answer: π/3
Tip: Check your result using the method in the example before moving to the next question.
1
Find the principal value of arcsin(√2/2) in radians.
2
Find the principal value of arccos(1/2) in radians.
3
Find the principal value of arcsin(0) in radians.
4
Find the principal value of arccos(√2/2) in radians.
5
Find the principal value of arcsin(√3/2) in radians.
6
Find the principal value of arccos(1) in radians.
7
Find the principal value of arcsin(1/2) in radians.
8
Find the principal value of arccos(√3/2) in radians.
9
Find the principal value of arcsin(1) in radians.
10
Find the principal value of arccos(0) in radians.
11
Find the principal value of arcsin(1/2) in radians.
12
Find the principal value of arccos(√2/2) in radians.
13
Find the principal value of arcsin(1) in radians.
14
Find the principal value of arccos(√2/2) in radians.
15
Find the principal value of arcsin(√3/2) in radians.
16
Find the principal value of arccos(0) in radians.
17
Find the principal value of arcsin(1/2) in radians.
18
Find the principal value of arccos(1) in radians.

Answer Key

1. π/42. π/33. 04. π/45. π/36. 07. π/68. π/69. π/210. π/211. π/612. π/413. π/214. π/415. π/316. π/217. π/618. 0

Frequently Asked Questions

How do I download this inverse trig functions - worksheet 2 worksheet?

Click "Download PDF" for a file, or "Print" to use your browser. You can save it as a PDF or print it directly. The answer key will be on a separate page.

How do I find worksheets at different difficulty levels?

Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.

What skills does this trigonometry & circular functions worksheet cover?

This worksheet focuses on trigonometry, inverse functions, domain. It is designed for 12th 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 18 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.