Prove (sinx/1-cosx)=cscx+cotx ?

1 Answer
Bdub
Apr 3, 2018

See Below

Explanation:

Left Hand Side:
#=sin x/(1-cos x)((1+cos x)/(1+cos x))#-multiply by the conjugate

#=(sin x + sin x cos x)/(1-cos^2x)#-distribute

#=sin x / sin^2 x + ( sin x cos x )/ sin ^2 x#-use property #sin^2x + cos^2 x =1#

#=1/ sin x + cos x / sin x #-simply

#=csc x + cot x#

#= # Right Hand Side

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