Multiple Choice
Evaluate the expression.
5. Inverse Trigonometric Functions and Basic Trigonometric Equations
Inverse Sine, Cosine, & Tangent
Struggling with Trigonometry?
Join thousands of students who trust us to help them ace their exams!Watch the first videoMultiple Choice
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 \( \sin^{-1}(x) \) is the inverse sine function, which gives the angle whose sine is \( x \). The range of \( \sin^{-1}(x) \) is \([-\frac{\pi}{2}, \frac{\pi}{2}]\).
Recognize that \( \sin^{-1}(-\frac{1}{3}) \) asks for the angle in radians whose sine is \(-\frac{1}{3}\).
Use a calculator to find \( \sin^{-1}(-\frac{1}{3}) \). Ensure the calculator is set to radian mode, as the problem requires the answer in radians.
Input \(-\frac{1}{3}\) into the inverse sine function on the calculator to find the angle.
Round the result from the calculator to two decimal places to obtain the final answer in radians.
Related Videos
Related Practice
Inverse Sine, Cosine, & Tangent practice set
Problem sets built by lead tutorsExpert video explanations