Question #879e2

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Answer 1 · 2016-11-15T01:47:23

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

#=2/sinx=RHS#

Proved