Inverse Trigonometric Functions Worksheet
Explore inverse trigonometric functions with this Grade 9 math worksheet, covering definitions, domain, range, and evaluation of arcsin, arccos, and arctan.
Includes
Standards
Topics
Inverse Trigonometric Functions
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Read each question carefully and provide the best answer. Show all your work for full credit.
1. What is the principal value of arcsin(1/2)?
π/3
π/6
π/4
2π/3
2. What is the domain of y = arccos(x)?
(-∞, ∞)
[-1, 1]
[0, π]
(-π/2, π/2)
3. Which of the following is equivalent to arctan(1)?
0
π/2
π/4
π
1. The range of y = arcsin(x) is .
2. For inverse trigonometric functions to exist, the original trigonometric functions must be .
3. The inverse tangent function, arctan(x), has a range of .
1. Evaluate arccos(-√3/2). Show your work.
2. Explain why sin(arcsin(x)) = x, but arcsin(sin(x)) is not always equal to x.
1. The domain of y = arctan(x) is [-1, 1].
True
False
2. The range of y = arccos(x) is [0, π].
True
False
Match each inverse trigonometric function with its corresponding range.
1. arcsin(x)
a. [0, π]
2. arccos(x)
b. (-π/2, π/2)
3. arctan(x)
c. [-π/2, π/2]