Trigonometrical equations — ગણિત ધોરણ 11 સાયન્સ — Question

$ \Rightarrow $ $\tan (\cot x) = \tan \left( {\frac{\pi }{2} - \tan x} \right)$

$ \Rightarrow $ $\cot x = n\pi  + \frac{\pi }{2} - \tan x $

$\Rightarrow \cot x + \tan x = n\pi  + \frac{\pi }{2}$

$ \Rightarrow $ $\frac{2}{{\sin 2x}} = n\pi  + \frac{\pi }{2}$

$\Rightarrow \sin 2x = \frac{2}{{n\pi  + \frac{\pi }{2}}} = \frac{4}{{(2n + 1)\pi }}$