Table of contents

5. Inverse Trigonometric Functions and Basic Trigonometric Equations

Inverse Sine, Cosine, & Tangent

5. Inverse Trigonometric Functions and Basic Trigonometric Equations

Inverse Sine, Cosine, & Tangent: Study with Video Lessons, Practice Problems & Examples

41PRACTICE PROBLEM

Perform transformation on the given graph of y = sin⁻¹ x to graph the following function. Then, identify the domain and range. Express the domain and range in interval notation.
f(x) = sin⁻¹ x + 3π/2

ANSWERS OPTIONS

Domain: [-1, 1], Range: [-2π, -π]

Graph of transformed function with points (1, -π) and (-1, -2π).

Domain: [-1, 1], Range: [π, 2π]

Graph of transformed function with points (1, 2π) and (-1, π).

Domain: [7π/6, 11π/6], Range: [-8/5, 8/5]

Graph of transformed function with point (3π/2, 0) and y-values ranging from -1 to 2.

Domain: [-5π/3, -4π/3], Range: [-8/5, 8/5]

Graph of transformed function with point (-3π/2, 0) and y-values ranging from -2 to 2.