Chapter 5 - Trigonometric Functions - Section 5.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions - 5.5 Assess Your Understanding - Page 442: 26

Answer

See graph, domain $\{x| x\ne k\pi\}$ (k is an integer), range $\{y|y\le-\frac{1}{2}\ or\ y\ge\frac{1}{2}\}$.

Work Step by Step

1. See graph for $y=\frac{1}{2}csc(x)$. 2. We can identify the domain $\{x| x\ne k\pi\}$ (k is an integer), range $\{y|y\le-\frac{1}{2}\ or\ y\ge\frac{1}{2}\}$.