SOLUTION: Simplify (sec-tan)(1+sin) Please help! I can't figure this problem out!

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Question 641334: Simplify (sec-tan)(1+sin)
Please help! I can't figure this problem out!

Answer by JellyBeans(8) About Me  (Show Source):
You can put this solution on YOUR website!
I'm not sure but this is my guess
(sec-tan) = In the Pythagorean identity, tan^2 theta + 1 = sec^2 theta
(sec-tan) = 1
(1+sin) = cos theta
so,
(sec-tan)(1+sin) = (1)(cos) = cos (simplified)