Find the value of $\cot 0 °$

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Solution

Finding the value of $\cot 0 °$
We know that
$\cos 0 ° = 1, \sin 0 ° = 0$
So,
$\begin{array}{rcl} \cot 0 ° & = & \frac{\cos 0 °}{\sin 0 °} \\ = & \frac{1}{0} \\ = & \infty \end{array}$ $[∵ \cot A = \frac{\cos A}{\sin A}]$
Hence the value of $\cot 0 °$ is $\infty$

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