Question

sin x/ 1+ cos x + 1 + cos x / sin x = 2 cosec x ( prove that)

Answer 1

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Answer 2

sinx/1+cosx + 1+cosx/sinx

=sin²x+(1+cosx)²/sinx(1+cosx)

=sin²x+1+cos²x+2cosx/sinx(1+cosx)

=2+2cosx/sinx(1+cosx)

=2(1+cosx)/sinx(1+cosx)

=2/sinx

=2cosecx