Question

On the unit circle, which of the following angles has the terminal point coordinates

Answer 1

$\begin{gathered} \text{Let the angle be }\theta \\ \text{Hence,} \\ \theta=tan^{-1}(\frac{y}{x}) \\ \end{gathered}$

In this case,

$y=-\frac{\sqrt[]{2}}{2}\text{ and x=-}\frac{\sqrt[]{2}}{2}$$\theta=\tan ^{-1}(1)=45^o,225^o$

Since x is negative, and y is negative

$\theta=225^o$