SOLUTION: how to prove 1/1-sintheta+1/1+sintheta=2sec^2theta

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Question 618842: how to prove 1/1-sintheta+1/1+sintheta=2sec^2theta
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
prove 1/1-sintheta+1/1+sintheta=2sec^2theta
1/(1-sin)+1/(1+sin)=2sec
start with left side
LCD: (1-sin)(1+sin)=1-sin^2
=(1+sin+1-sin/1-sin^2
=2/(1-sin^2)
=2/cos^2
=2sec^2
verified:
left side=right side