Question

How do you find the value of $cot180°$?

Answer 1

Calculate the value of trigonometric ratio at given angle:

Let $x$ be the value equal to $cot180°$.

$\therefore x=cot180°$

$=\mathrm{co}t\left(180°+0°\right)$

$=\mathrm{co}t0°$ $[\because cot\left(180°+a°\right)=co\mathrm{ta}°]$

$=\frac{\cos 0°}{\sin 0°}$ $\left[\because cot\theta =\frac{cos\theta }{sin\theta }\right]$

$=\frac{1}{0}$ $[\because cos0°=1;sin0°=0]$

$=\mathrm{undefined}$

Hence, the value of $\mathit{c}\mathit{o}\mathit{t}\mathbf{180}\mathbf{°}$ is undefined.