Triple angle identity for tangent

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Trigonometry

Triple angle identity for tangent function is used to represent tangent of a triple angle in terms of tangent of one-third of the triple angle. More specifically, tangent of a triple angle equals to the difference between three tangent of one-third of the triple angle and tangent of one-third of the triple angle to power three divided by 1 minus three tangent of one-third of the triple angle to power two.


\tan3\alpha =\dfrac{3\tan\alpha -\tan^3\alpha }{1-3\tan^2\alpha }

or

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