SOLUTION: Hello, could you please help me? I need to prove the following trig identity" (tan 4t - tan 2t)/ (1+ tan4t tan2t) = (2tan t)/ (1-tan^2 t) I know that it involves the sum a

Question 845370: Hello, could you please help me?
I need to prove the following trig identity"
(tan 4t - tan 2t)/ (1+ tan4t tan2t) = (2tan t)/ (1-tan^2 t)
I know that it involves the sum and difference identities, but I don't know how to go about solving it. Any help would be greatly appreciated. Each side is supposed to be in the form of a fraction. Thank you!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
I need to prove the following trig identity"
(tan 4t - tan 2t)/ (1+ tan4t tan2t) = (2tan t)/ (1-tan^2 t)
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The left side is tan(4t-2t) = tan(2t)
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The right side is tan(t + t) = tan(2t)
===================
Cheers,
Stan H.
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