Find the general solutions of the following equations : cotθ = 0. - Vidyadip

Question

Find the general solutions of the following equations : cotθ = 0.

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Answer

The general solution of $\tan \theta=\tan \alpha$ is

$\theta=n \pi+\alpha, n \in Z$

Now, $\cot \theta=0 \therefore \tan \theta$ does not exist

$\therefore \tan \theta=\tan \frac{\pi}{2}\left[\because \tan \frac{\pi}{2}\right.$ does not exist $]$

∴ the required general solution is

$\theta=n \pi+\frac{\pi}{2}, n \in Z$.

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