SOLUTION: Solve for (tan pi/4 - tan pi/3) / (1 + tan pi/4 * tan pi/3)

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Question 927653: Solve for
(tan pi/4 - tan pi/3) / (1 + tan pi/4 * tan pi/3)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Use the identity tan%28x-y%29+=+%28tan%28x%29-tan%28y%29%29%2F%281%2Btan%28x%29%2Atan%28y%29%29. In this case, we have x+=+pi%2F4 and y+=+pi%2F3


tan%28x-y%29+=+%28tan%28x%29-tan%28y%29%29%2F%281%2Btan%28x%29%2Atan%28y%29%29





tan%28pi%2F4-pi%2F3%29+=+%281-sqrt%283%29%29%2F%281%2B1%2Asqrt%283%29%29


tan%28pi%2F4-pi%2F3%29+=+%281-sqrt%283%29%29%2F%281%2Bsqrt%283%29%29 This is as simplified as it gets assuming you don't need to rationalize the denominator.

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