Multiple Choice
Evaluate the expression.
0. Functions
Inverse Trigonometric Functions
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Evaluate the expression using a calculator. Express your answer in radians, rounding to two decimal places.
A
0.34
B
– 0.34
C
– 0.33
D
– 19.47
Verified step by step guidance1
Understand that the problem involves finding the inverse sine, or arcsin, of a value. The expression \( \sin^{-1}\left(-\frac{1}{3}\right) \) asks for the angle whose sine is \(-\frac{1}{3}\).
Recall that the range of the \( \sin^{-1} \) function is \([-\frac{\pi}{2}, \frac{\pi}{2}]\), which means the result will be an angle in radians within this interval.
Use a calculator to find \( \sin^{-1}\left(-\frac{1}{3}\right) \). Ensure your calculator is set to radian mode, as the problem specifies the answer should be in radians.
After obtaining the result from the calculator, round the value to two decimal places as instructed.
Compare the rounded result with the given options to identify the correct answer.
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