Question
Find the trigonometric functions of $: – 270^\circ$
✓
Answer
Angle of measure $\left(-270^{\circ}\right)$ :
Let $\mathrm{m} \angle \mathrm{XOA}=-270^{\circ}$
Its terminal arm (ray $\mathrm{OA}$ ) intersects the standard unit, circle at $P(0,1)$.
$ \therefore x=0 \text { and } y=1$
$\sin \left(-270^{\circ}\right)=y=1$
$\cos \left(-270^{\circ}\right)=x=0$
$\tan \left(-270^{\circ}\right)=\frac{y}{x}=\frac{1}{0} $
which is not defined.
$\operatorname{cosec}\left(-270^{\circ}\right)=\frac{1}{y}=\frac{1}{1}=1$
$\sec \left(-270^{\circ}\right)=\frac{1}{x}=\frac{1}{0}$,
which is not defined.
$\cot \left(-270^{\circ}\right)=\frac{x}{y}=\frac{0}{1}=0$
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