Chapter 5 - Trigonometric Functions - Section 5.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions - 5.5 Assess Your Understanding - Page 441: 12

$x=-\frac{3\pi}{2},\frac{\pi}{2}$. $x=-\frac{\pi}{2},\frac{3\pi}{2}$.

1. $y=csc(x)=\frac{1}{sin(x)}=1 \Longrightarrow sin(x)=1 \Longrightarrow x=-\frac{3\pi}{2},\frac{\pi}{2}$. 2. $y=csc(x)=\frac{1}{sin(x)}=-1 \Longrightarrow sin(x)=-1 \Longrightarrow x=-\frac{\pi}{2},\frac{3\pi}{2}$.