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Question #55104

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Mar 22, 2017

$Sinx /(1+cosx )+ (1+cosx) / sinx$

$=(Sinx(1-cosx)) /((1+cosx )(1-cosx))+ (1+cosx) / sinx$

$=(Sinx(1-cosx)) /(1-cos^2x) + (1+cosx) / sinx$

$=(Sinx(1-cosx)) /sin^2x + (1+cosx) / sinx$

$=(1-cosx) /sinx + (1+cosx) / sinx$

$=1/sinx-cosx/sinx + 1/sinx+cosx/ sinx$

$=2/sinx=2cscx$

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