How do you perform addition or subtraction and use the fundamental identities to simplify #1/(1+cosx)+1/(1-cosx)#?

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Feb 17, 2017

Answer:

#1/(1+cosx)+1/(1-cosx)=2csc^2x#

Explanation:

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

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

= #2/(1-cos^2x)#

= #2/sin^2x#

= #2csc^2x#

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