Chapter 5 - Trigonometric Functions - Section 5.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions - 5.5 Assess Your Understanding - Page 442: 36

Answer

See graph, domain $\{x|x\ne \frac{2(2k+1)}{3}\}$ (k is an integer), range $\{y|y\le-1\ or\ y\ge1\}$.

Work Step by Step

1. See graph for $y=csc(\frac{3\pi}{2}x)$. 2. We can determine the domain $\{x|x\ne \frac{2(2k+1)}{3}\}$ (k is an integer), range $\{y|y\le-1\ or\ y\ge1\}$.