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Could someone help me to decompose the argument of these functions? I was searching online but couldn't find it:

$\arctan(x + y) = $ ?

$\arctan(x - y) = $ ?

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Addition: $$\arctan(x) + \arctan(y) = \arctan\left(\frac{x+y}{1-xy}\right)$$

Subtraction: $$\arctan(x) - \arctan(y) = \arctan\left(\frac{x-y}{1+xy}\right)$$

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    $\begingroup$ What is your symbol as superscipt on the tangent? In any case, this answer would certainly benefit from some MathJax/LaTeX formatting... $\endgroup$
    – The Count
    Commented Jan 25, 2017 at 15:45

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