Question

Prove :

sin q

1 + cos q +

1 + cos q

sin q = 2 cosec q​

Answer 1

Step-by-step explanation:

To prove: SinQ/1+cosQ + 1+cosQ/sinQ= 2 cosecQ

Lhs:

SinQ/1+cosQ + 1+cosQ/sinQ

=sin²Q+(1+cosQ)²/(1+cosQ)sinQ

=sin²Q+1+cos²Q+2cosQ/(1+cosQ)sinQ

=1+1+2cosQ/(1+cosQ)sinQ

=2(1+cosQ)/(1+cosQ)sinQ

=2/sinQ

=2cosecQ

=rhs

Hence proved