What is the general solution for solvefor x,y=arctan(x+y) ?

The general solution for solvefor x,y=arctan(x+y) is x=tan(y)-y

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solvefor x,y=arctan(x+y)

solve for

x, y = arctan (x + y)

x = tan (y) - y

Solution steps

y = arctan (x + y)

Switch sides

arctan (x + y) = y

Apply trig inverse properties

arctan (x + y) = y

arctan (x) = a \Rightarrow x = tan (a)

x + y = tan (y)

x + y = tan (y)

Solve

x + y = tan (y) : x = tan (y) - y

x + y = tan (y)

Move

y

to the right side

x + y = tan (y)

Subtract

y

from both sides

x + y - y = tan (y) - y

Simplify

x = tan (y) - y

x = tan (y) - y

x = tan (y) - y

cos (x) = - sin^{2} (x) - 1, 0 \leq x \leq 2 π

θ, cos (θ) = \frac{- 1 2}{2}

cos^{2} (x) - sin (x) + 1 = 0

sin (2 x) = cos (x - 1 5^{\circ})

(1 + cos (4 x)) sin (4 x) = cos^{2} (2 x)

What is the general solution for solvefor x,y=arctan(x+y) ?
The general solution for solvefor x,y=arctan(x+y) is x=tan(y)-y