Question

Use the unit circle to find the value of tan 315°.

Answer 1

The unit circle (radius is one unit) for the trigonometric function is,

The coordinate of point P is,

`P(\frac{\sqrt[]{2}}{2},-\frac{\sqrt[]{2}}{2})`

So value of tan 315 is,

`\begin{gathered} \tan 315=\frac{-\frac{\sqrt[]{2}}{2}}{\frac{\sqrt[]{2}}{2}} \\ =-1 \end{gathered}`

Answer: -1