Prove that: sin A/(1+cos A) + (1+cos A)/sin A = cosec A - Maths - Trigonometry

Question

Prove that: sin A/(1+cos A) + (1+cos A)/sin A = cosec A

Ayushi Chaurasiya · Accepted Answer

Dear Student,Your question appears to be incorrect
The question will be sin A1+cosA+1+cos Asin A=2  cosec ALHS=sin A1+cosA+1+cos Asin A=sin2A+(1+cos A)2sinA(1+cos A)=sin2A+1+2cosA+cos2AsinA(1+cos A)          ::(a+b)2=a2+b2+2ab=2+2cosAsinA(1+cos A)=2(1+cosA)sinA(1+cosA)=2sinA=2cosecAHence LHS=RHSRegards