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