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Math Help - arctan(y) = x^2 + C, y = ?

  1. #1
    Junior Member
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    arctan(y) = x^2 + C, y = ?

    Just say you have an equation:

    arctan(y) = x^2 + C

    where C is some constant


    solving for y, is it....

    y= tan(x^2 + C)
    or

    y=tan(x^2)+C

    ??

    which way do we put this??
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  2. #2
    MHF Contributor Unknown008's Avatar
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    No, if you want to separate x^2 and C, you have to use the identity:

    \tan (A+B) = \dfrac{\tan A + \tan B}{1 - \tan A\tan B}
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  3. #3
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    e^(i*pi)'s Avatar
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    Your first answer is correct: y = \tan(x^2+C)

    If you want to separate x and C use an identity
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