SOLUTION: verify ((tan(x+y)-tany)/(1 +tan(x+y)tany))=tanx

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Question 969675: verify ((tan(x+y)-tany)/(1 +tan(x+y)tany))=tanx

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
verify ((tan(x+y)-tany)/(1 +tan(x+y)tany))=tanx
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Identity%3A+tan%28a-b%29=%28tana-tanb%29%2F%281%2Btana%2Atanb%29
start with left side:
%28%28tan%28x%2By%29-tany%29%29%2F%281+%2Btan%28x%2By%29tany%29=tan%28x%2By-y%29=tanx
verified: left side=right side