Question

If y:tan^-1√1-cos2x/1+cos2x find dy/DX

Answer 1

$heya \\ \\ \\ \sqrt{1 - \cos(2x) \div 1 + \cos(2x) } \\ \\ = \sqrt{2 \sin {}^{2} (x) \div 2 \cos {}^{2} (x) } \\ \\ \\ = \tan(x) \\ \\ \\ \\ \\ = > \\ \\ y = \tan {}^{ - 1} ( \tan(x) ) \\ \\ \\ y = x \\ \\ now \: differentiate \: both \: sides \: w.r.t.x \\ \\ \\ dy \div dx = 1$