SOLUTION: explain how to transform {{{sin(x)*tan(x)+cos(x)}}} into {{{sec(x)}}}

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Question 546632: explain how to transform sin%28x%29%2Atan%28x%29%2Bcos%28x%29 into sec%28x%29
Answer by mathie123(224) About Me  (Show Source):
You can put this solution on YOUR website!
sin%28x%29%2Atan%28x%29%2Bcos%28x%29
Using the identity that tan%28x%29=%28sin%28x%29%29%2F%28cos%28x%29%29
sin%28x%29%2A%28sin%28x%29%29%2F%28cos%28x%29%29%2Bcos%28x%29
Finidng a common denominator
sin%5E2%28x%29%2Fcos%28x%29%2Bcos%5E2%28x%29%2Fcos%28x%29
Using the identity that 1=%28sin%5E2%28x%29%2Bcos%5E2%28x%29%29
%28sin%5E2%28x%29%2Bcos%5E2%28x%29%29%2Fcos%28x%29
1%2Fcos%28x%29
sec%28x%29