Math

Transform
arctan x + arctan y = pi/4 into algebraic expression

A) x+xy-y = 1
B) x-xy-y = 1
C) x+xy+y = 1
D) x-xy+y = 1

Plsss help

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  1. using the sum of tangents formula,

    tan(arctan x + arctan y)
    =

    tan(arctanx)+tan(arctany)
    ----------------------------- = tan(pi/4)
    1 - tan(arctanx)-tan(arctany)

    (x+y)/(1-xy) = 1
    x+y = 1-xy
    x+xy+y = 1

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    posted by Steve

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