((1+cosx)/sinx)+(sinx/(1+cosx))
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Step-by-step explanation:
(1+cosx/sinx) + (sinx/1+cosx)
=(1+cosx)² + sin²x /sinx (1+cosx)
=(1+cos²x+2cosx+sin²x) /sinx(1+cosx)
=2(1+cosx) /sinx(1+cosx)
= 2 / sinx
= 2cosecx
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