SOLUTION: Prove the following identity: 2 sec^2 = 1/1- sin x + 1/1+ sin x,

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Question 744514: Prove the following identity:
2 sec^2 = 1/1- sin x + 1/1+ sin x,
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Prove the following identity:
2 sec^2 = 1/1- sin x + 1/1+ sin x,
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2sec%5E2%28x%29=1%2F%281-sin%28x%29%29%2B1%2F%281%2Bsin%28x%29%29
start with right side
1%2F%281-sin%28x%29%29%2B1%2F%281%2Bsin%28x%29%29
LCD:(1+sin(x))(1+sin(x))=1-sin^2(x)

verified: right side=left side