Question
Find the trigonometric functions of $: -180^\circ$
✓
Answer
Angle of measure $\left(-180^{\circ}\right)$ :
Let $m \angle X O A=-180^{\circ}$
Its terminal arm (ray $O A)$ intersects the standard unit circle at $P(-1,0)$.
$ \therefore x=-1 \text { andy }=0$
$\sin \left(-180^{\circ}\right)=y=0$
$\cos \left(-180^{\circ}\right)=x$
$=-1 $
$ \tan \left(-180^{\circ}\right) =\frac{y}{x}$
$ =\frac{0}{-1}$
$ =0 $
$ \operatorname{cosec}\left(-180^{\circ}\right) =\frac{1}{y}$
$ =\frac{1}{0}, \text { which is not defined }$
$\sec \left(-180^{\circ}\right)=\frac{1}{x}=\frac{1}{-1}=-1$
$\cot \left(-180^{\circ}\right)=\underline{x}=-\frac{-1}{0}$, which is not defined
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