#Cos x /(1-sin x )=(1 +cos x+sin x)/(1 +cos x-sin x)# Please prove it?

1 Answer
P dilip_k
Jan 1, 2018

#RHS=(1 +cos x+sin x)/(1 +cos x-sin x)#

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

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

#=(cosx(1 +cos x+sin x))/(cosx(1 -sin x)+(1-sinx)(1+sinx))#

#=(cosx(1 +cos x+sin x))/((1 -sin x)(cosx+1+sinx))#

#=Cos x /(1-sin x )=LHS#

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