How do you prove the identity #1 / (1- cosx) + 1/ (1+ cosx) = 2 csc^2x#?

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Babette Share
Apr 15, 2015

Working with the left hand side

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

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

#2/sin^2x#

#2csc^2x#

which is equal to the right hand side

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