SOLUTION: hi. can you help me solve: simplify this expression: (1+cosx)/(sinx) + (sinx)(1+cosx) thanks

Algebra ->  Trigonometry-basics -> SOLUTION: hi. can you help me solve: simplify this expression: (1+cosx)/(sinx) + (sinx)(1+cosx) thanks       Log On


   

Question 570225: hi. can you help me solve: simplify this expression: (1+cosx)/(sinx) + (sinx)(1+cosx)
thanks
Found 2 solutions by Alan3354, htmentor:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
I suspect a typo.
confirm it and repost it.

Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
simplify this expression: (1+cosx)/(sinx) + (sinx)(1+cosx)
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Using the common denominator sin(x)(1+cos(x) we can write the expression as

Expand:

Since sin%5E2%28x%29+%2B+cos%5E2%28x%29+=+1, this simplifies to
%282%2A%281%2Bcos%28x%29%29%29%2F%28sin%28x%29%2A%281%2Bcos%28x%29%29%29+=+2%2Fsin%28x%29