Grade 12 Inverse Trigonometric Functions Worksheet
This worksheet covers inverse trigonometric functions, their domains, ranges, and applications in solving trigonometric equations.
Includes
Standards
Topics
Inverse Trigonometric Functions
Name:
Date:
Score:
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/6
π/3
π/4
π/2
2. The range of arccos(x) is:
[-π/2, π/2]
[0, π]
(-π/2, π/2)
(0, π)
3. The domain of arcsin(x) is .
4. The value of arctan(√3) is .
5. For the inverse function to exist, the original trigonometric function must be .
6. Evaluate sin(arccos(3/5)).
7. Find the exact value of arccos(-√2/2).
8. The domain of arctan(x) is all real numbers.
True
False
9. The principal value of arcsin(x) is always positive.
True
False
10. A ladder 10 meters long leans against a vertical wall. If the base of the ladder is 6 meters from the wall, what is the angle of elevation of the ladder to the ground? Express your answer using an inverse trigonometric function.
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