Prove that (1)/(1-cosx)+(1)/(1+cosx)=2sec^(2)x ?

After attempting to prove the statement above, I came up with my final answer of 2csc^(2)x. Which is not equal to the statement above, I'm very confused please help.

1 Answer
Jim G.
Mar 13, 2018

#"see explanation"#

Explanation:

#"using the "color(blue)"trigonometric identities"#

#•color(white)(x)cscx=1/cosx#

#•color(white)(x)sin^2x+cos^2x=1#

#rArr1/(1-cosx)+1/(1+cosx)#

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

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

#"Your answer is correct the identity given is incorrect"#

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