Question

The terminal side θ passes through the point (8,-7) what is the exact value of θ in simplified form?

Answer 1

Given:

the terminal side θ passes through the point (8,-7)

so,

`(x,y)=(8,-7)`

The point lying in quarter number 4

so,

`\begin{gathered} \tan \theta=(y)/(x)=-(7)/(8) \\ \\ \theta=\tan ^(-1)(-(7)/(8))=-41.186 \\ \\ \theta=360-41.186=318.814 \end{gathered}`