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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No, if you want to separate x^2 and C, you have to use the identity: $\displaystyle \tan (A+B) = \dfrac{\tan A + \tan B}{1 - \tan A\tan B}$
Your first answer is correct: $\displaystyle y = \tan(x^2+C)$ If you want to separate x and C use an identity
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