SOLUTION: 12.Complete the identity: (sec*sin/tan)-1

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Question 175830: 12.Complete the identity: (sec*sin/tan)-1
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Remember, tan%28x%29=sin%28x%29%2Fcos%28x%29. So . In other words, sin%28x%29%2Ftan%28x%29=cos%28x%29


So sec%28x%29%28sin%28x%29%2Ftan%28x%29%29-1 becomes sec%28x%29cos%28x%29-1


Now replace sec(x) with 1%2Fcos%28x%29 to get %281%2Fcos%28x%29%29cos%28x%29-1


Multiply to get 1-1 and subtract to get 0


So sec%28x%29%28sin%28x%29%2Ftan%28x%29%29-1=0