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Math Help - Prove that tan(2inverse tan) = 2tan(inverse tan + inverse tan x^3)

  1. #1
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    Prove that tan(2inverse tan) = 2tan(inverse tan + inverse tan x^3)

    prove that

    tan(2\tan^{-1}x) = 2tan(\tan^{-1}x+\tan^{-1}x^3)

    Thanks
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  2. #2
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    Quote Originally Posted by differentiate View Post
    prove that

    tan(2\tan^{-1}x) = 2tan(\tan^{-1}x+\tan^{-1}x^3)

    Thanks
    Dear differentiate,

    tan(A+B)=\frac{tanA+tanB}{1-tanAtanB}

    Use this formula and simplify both sides seperately.

    Hope you could continue from here!!
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