Chapter 1 - Trigonometric Functions - Section 1.3 Trigonometric Functions - 1.3 Exercises - Page 26: 16

$\sin\theta=\frac{y}{r}=\frac{\sqrt 3}{2 }$ $\cos\theta=\frac{x}{r}=\frac{-1}{2}$ $\tan\theta=\frac{y}{x}=\frac{\sqrt 3}{-1}=-\sqrt 3$ $\csc\theta=\frac{r}{y}=\frac{2}{\sqrt 3}=\frac{2\sqrt 3}{3}$ $\sec\theta=\frac{r}{x}=\frac{2}{-1}=-2$ $\cot\theta=\frac{x}{y}=\frac{-1}{\sqrt 3}=-\frac{\sqrt 3}{3}$

$x=-1$ $y=\sqrt 3$ $r=\sqrt{(-1)^{2}+(\sqrt 3)^{2}}=\sqrt {1+3}= 2$