SOLUTION: find exact value: tan(pi/3+pi/4)

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Question 152986: find exact value:
tan(pi/3+pi/4)
Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!
Formula to use:
tan+%28A%2BB%29+=+%28tan+A+%2B+tan+B%29%2F%281-tan+Atan+B%29
Also note that
tan%28pi%2F3%29=sqrt%283%29
tan%28pi%2F4%29=1
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tan+%28pi%2F3%2Bpi%2F4%29
= %28tan+%28pi%2F3%29+%2B+tan+%28pi%2F4%29%29%2F%281-tan+%28pi%2F3%29tan+%28pi%2F4%29%29
= %28sqrt%283%29%2B1%29%2F%281-sqrt%283%29%2A1%29
= %28sqrt%283%29%2B1%29%2F%281-sqrt%283%29%29
=
=
= %28sqrt%283%29%2B1%29%5E2%2F%28%281-sqrt%283%29%29%281%2Bsqrt%283%29%29%29
= %283%2B2sqrt%283%29%2B1%29%2F%281-3%29
= %284%2B2sqrt%283%29%29%2F%28-2%29
= -2-sqrt%283%29