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

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Answer 1 · 2017-02-17T16:21:49

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

$1/(1+cosx)+1/(1-cosx)$

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

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

= $2/sin^2x$

= $2csc^2x$

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