SOLUTION: tan 2 (4x) / 1 - tan (4x) tan (4x) is equal to : a) tan 2 x b) tan 4x c) tan 8x d) tan x

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Question 824349: tan 2 (4x) / 1 - tan (4x) tan (4x) is equal to :
a) tan 2 x
b) tan 4x
c) tan 8x
d) tan x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Using the identity tan%28A%2BB%29+=+%28tan%28A%29+%2B+tan%28B%29%29%2F%281+-+tan%28A%29%2Atan%28B%29%29 where in this case A = 4x and B = 4x, we get this...

tan%28A%2BB%29+=+%28tan%28A%29+%2B+tan%28B%29%29%2F%281+-+tan%28A%29%2Atan%28B%29%29

tan%284x%2B4x%29+=+%28tan%284x%29+%2B+tan%284x%29%29%2F%281+-+tan%284x%29%2Atan%284x%29%29

tan%288x%29+=+%282tan%284x%29%29%2F%281+-+tan%284x%29%2Atan%284x%29%29