General solution of the equation - = 2 is - Vidyadip

MCQ

General solution of the equation $\cot \theta - \tan \theta = 2$ is

A
$n\pi + \frac{\pi }{4}$
✓
$\frac{{n\pi }}{2} + \frac{\pi }{8}$
C
$\frac{{n\pi }}{2} \pm \frac{\pi }{8}$
D
None of these

✓

Answer

Correct option: B.

$\frac{{n\pi }}{2} + \frac{\pi }{8}$

b
(b) On simplification, it reduces to $\cos 2\theta = \sin 2\theta $

$ \Rightarrow $ $\tan 2\theta = \tan \frac{\pi }{4}$

$\Rightarrow 2\theta = n\pi + \frac{\pi }{4}$

$\Rightarrow \theta = \frac{{n\pi }}{2} + \frac{\pi }{8}$.

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