Question #087f5

1 Answer
P dilip_k
Dec 13, 2017

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

#=(cosx(sinx-cosx+1))/(cosxsinx+cos^2x-cosx)#

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

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

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

#=cosx/(1-sinx)#

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

#=1/(secx-tanx)=RHS#

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