The general solution of the trigonometric equation = is - Vidyadip

MCQ

The general solution of the trigonometric equation $\tan \theta = \cot \alpha $ is

✓
$\theta = n\pi + \frac{\pi }{2} - \alpha $
B
$\theta = n\pi - \frac{\pi }{2} + \alpha $
C
$\theta = n\pi + \frac{\pi }{2} + \alpha $
D
$\theta = n\pi - \frac{\pi }{2} - \alpha $

✓

Answer

Correct option: A.

$\theta = n\pi + \frac{\pi }{2} - \alpha $

a
(a) $\tan \theta = \cot \alpha$

$\Rightarrow \tan \theta = \tan \left( {\frac{\pi }{2} - \alpha } \right)$

$ \Rightarrow $ $\theta = n\pi + \frac{\pi }{2} - \alpha $.

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