sinθ/1 + cosθ + 1 + cosθ/sinθ = cos...
Question
Check here step-by-step solution of 'sinθ/1 + cosθ + 1 + cosθ/sinθ = cosecθ' question at Instasolv!
Fullscreen

( frac{sin theta}{1+cos theta}+frac{1+cos theta}{operatorname{lin} theta}=operatorname{cosec} theta )

NEET/Medical Exams
Physics
Solution
62
Rating
4.0 (1 ratings)
sinθ/1 + cosθ + 1 + cosθ/sinθ = cosecθ
Fullscreen

( begin{aligned} L H S &=frac{sin theta}{1+cos theta}+frac{1+cos theta}{sin theta} &=frac{sin theta(1-cos theta)}{(1+cos theta)(1-cos theta)}+frac{1+cos theta}{sin theta} &=frac{sin theta(1-cos theta)+frac{1+cos theta}{sin theta}}{1-cos ^{2} theta} &=frac{sin theta(1-cos theta)}{sin ^{2} theta}+frac{1+cos theta}{sin theta} &=frac{1-cos theta}{sin theta}+frac{1+cos theta}{sin theta}=frac{2}{sin theta} &=2 operatorname{cosec} theta=end{aligned} )

Quick and Stepwise Solutions Just click and Send Download App OVER 20 LAKH QUESTIONS ANSWERED Download App for Free