Joyce Decker

2023-03-07

How to find the value of $cot180°$?

neizhojen50q

Determine the trigonometric ratio's value at the specified angle:
Let $x$ be the value equal to $cot180°$.
$\therefore x=cot180°$
$=\mathrm{co}t\left(180°+0°\right)$
$=\mathrm{co}t0°$ $\left[\because cot\left(180°+a°\right)=co\mathrm{ta}°\right]$
$=\frac{\mathrm{cos}0°}{\mathrm{sin}0°}$ $\left[\because cot\theta =\frac{cos\theta }{sin\theta }\right]$
$=\frac{1}{0}$ $\left[\because cos0°=1;sin0°=0\right]$
$=\mathrm{undefined}$
Hence, the value of $cot180°$ is undefined.

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