Answer
$\sin\theta=\frac{y}{r}=\frac{\sqrt 3}{2}$
$\cos\theta=\frac{x}{r}=\frac{1}{2}$
$\tan\theta=\frac{y}{x}=\frac{\sqrt 3}{1}=\sqrt 3$
$\csc\theta=\frac{r}{y}=\frac{2}{\sqrt 3}=\frac{2\sqrt 3}{3}$
$\sec\theta=\frac{r}{x}=\frac{2}{1}=2$
$\cot\theta=\frac{x}{y}=\frac{1}{\sqrt 3}=\frac{\sqrt 3}{3}$
Work Step by Step
$x=1$
$y=\sqrt 3$
$r=\sqrt{(1)^{2}+(\sqrt 3)^{2}}=\sqrt {1+3}= 2$