Inverse Trigonometric Functions Worksheet
A Grade 10 Math worksheet covering inverse trigonometric functions, including finding principal values and solving equations.
Includes
Standards
Topics
Inverse Trigonometric Functions
Name:
Date:
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. What is the principal value of arcsin(1/2)?
π/3
π/6
π/4
π/2
2. The range of arccos(x) is:
[-π/2, π/2]
[0, π]
(0, π)
(-π/2, π/2)
3. The domain of arctan(x) is .
4. If sin(θ) = x, then θ = .
5. Find the exact value of tan(arccos(√3/2)).
6. Evaluate sin(arctan(1)).
7. The principal value of arccos(-1) is -π.
True
False
8. The domain of arcsin(x) is [-1, 1].
True
False
9. Solve for x: arcsin(x) = π/3. Explain your steps.
10. If cos(θ) = -1/2 and π/2 < θ < π, find the value of θ using inverse trigonometric functions.
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