SOLUTION: how to simplify (cosx/1+sinx)+(1+sinx/cosx)

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Question 1199276: how to simplify (cosx/1+sinx)+(1+sinx/cosx)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

cos%28x%29%2F%281%2Bsin%28x%29%29%2B%281%2Bsin%28x%29%29%2Fcos%28x%29.............common denominator

=

=%28cos%5E2%28x%29%2B%281%2Bsin%28x%29%29%5E2%29%2F%28cos%28x%29%281%2Bsin%28x%29%29%29

=........since sin%5E2%28x%29=1-cos%5E2%28x%29

=

=%282%2B+2+sin%28x%29+%29%2F%28cos%28x%29%281%2Bsin%28x%29%29%29

=2+%28sin%28x%29+%2B+1%29%2F%28cos%28x%29%281%2Bsin%28x%29%29%29

=2+%281%2Fcos%28x%29%29........................1%2Fcos%28x%29=sec%28x%29

=2+sec%28x%29