Inverse Trigonometric Functions Worksheet
Grade 11 Math worksheet covering inverse trigonometric functions, domain, range, and evaluation.
Includes
Topics
Inverse Trigonometric Functions
Name:
Date:
Score:
Read each question carefully and provide the best answer. Show all your work for full credit.
1. What is the range of the function y = arcsin(x)?
[0, π]
[-π/2, π/2]
(-∞, ∞)
(0, 2π]
2. For which values of x is arccos(x) defined?
x ≥ 0
x ≠ 0
-1 ≤ x ≤ 1
All real numbers
3. The domain of y = arctan(x) is .
4. The inverse sine function, denoted as arcsin(x) or sin⁻¹(x), returns an angle whose sine is .
5. The principal value of arccos(-1/2) is .
6. Evaluate arcsin(√3/2).
7. Find the exact value of tan(arccos(1/2)).
8. Explain why the domain of the inverse cosine function is restricted to [-1, 1].
9. The range of arctan(x) is [0, π].
True
False
10. The expression arcsin(sin(π/3)) simplifies to π/3.
True
False