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