Question

Prove that (sin A/1+cos A)+(sinA/1-cosA)=√1+cosA/1-cos A+√1-cosA/1+cos A=2 cosec A

Answer 1

(SinA/1+cosA)+(SinA/1-cosA)

(sinA=2sinA/2.2cosA/2)

= 2sinA/2.cosA/2/2cossquareA/2+ 2sinA/2.cosA/2/2sinsquareA/2

=sinA/2/cosA/2+cosA/2/sinA/2

=sinsquareA/2+cossquareA/2/cosA/2.sinA/2

=1/cosA/2.sinA/2

multiplying and dividing with"2”.

=2/2sinA/2.cosA/2

=2cosecA

Answer 2

here is your answer