Question

(1+cosx/1_cosx)1/2 ऑफ derivative

Answer 1

$y = ( { \frac{1 + cosx }{1 - cosx} })^{ \frac{1}{2} } \\ \: \: \: \: = { ({cot}^{2} \frac{x}{2} ) }^{ \frac{1}{2} } = cot \frac{x}{2} \\ \frac{dy}{dx} = - {cosec}^{2} \frac{x}{2} \times \frac{1}{2} \\ \: \: \: \: \: \: \: \: = \frac{ - {cosec}^{2} \frac{x}{2} }{2}$