1+ sin teta +cos teta over 1 +sin teta - cos teta is equals to 1+ cos teta over sin teta?

1 Answer
Abhishek K.
Mar 5, 2018

#LHS=(1+sinx+cosx)/(1+sinx-cosx)#

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

#=(sinx+sin^2x+sinx*cosx)/(sinx(1+sinx-cosx)#

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

#=((1+cosx)cancel((1+sinx-cosx)))/(sinxcancel((1+sinx-cosx))#

#=(1+cosx)/sinx=RHS#

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