SOLUTION: simplify the trigonometric expression. {{{cos(x)/(sec(x)+tan(x))}}}.

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Question 863443: simplify the trigonometric expression.
cos%28x%29%2F%28sec%28x%29%2Btan%28x%29%29.
Found 2 solutions by jim_thompson5910, lwsshak3:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
cos%28x%29%2F%28sec%28x%29%2Btan%28x%29%29


cos%28x%29%2F%28%281%29%2F%28cos%28x%29%29%2B%28sin%28x%29%29%2F%28cos%28x%29%29%29


cos%28x%29%2F%28%281%2Bsin%28x%29%29%2F%28cos%28x%29%29%29


%28cos%28x%29%2F1%29%2F%28%281%2Bsin%28x%29%29%2F%28cos%28x%29%29%29


%28cos%28x%29%2F1%29%2A%28%28cos%28x%29%29%2F%281%2Bsin%28x%29%29%29


%28cos%28x%29%2Acos%28x%29%29%2F%281%2A%281%2Bsin%28x%29%29%29


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


%281-sin%5E2%28x%29%29%2F%281%2Bsin%28x%29%29


%28%281%2Bsin%28x%29%29%281-sin%28x%29%29%29%2F%281%2Bsin%28x%29%29








1-sin%28x%29


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So cos%28x%29%2F%28sec%28x%29%2Btan%28x%29%29 simplifies to 1-sin%28x%29


Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
simplify the trigonometric expression.
cos%28x%29%2F%28sec%28x%29%2Btan%28x%29%29
..
cos%28x%29%2F%28%281%2Fcos%28x%29%29%2B%28sin%28x%29%2Fcos%28x%29%29%29
..
cos%28x%29%2F%28%281%2Bsin%28x%29%29%2Fcos%28x%29%29%29
..
=1-sin(x)