Question

sinQ/1+cosQ + 1+cosQ/sinQ= 2 cosecQ​

Answer 1

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Answer 2

Answer:

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

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