What is the general solution for solvefor x,arctan(y/x)= pi/4 ?

The general solution for solvefor x,arctan(y/x)= pi/4 is x=y

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solvefor x,arctan(y/x)= pi/4

solve for

x, arctan (\frac{y}{x}) = \frac{π}{4}

x = y

Solution steps

arctan (\frac{y}{x}) = \frac{π}{4}

Apply trig inverse properties

\frac{y}{x} = 1

Solve

\frac{y}{x} = 1 : x = y

x = y

(1 + cos (x)) (tan (x) - 1) = 0

cos (x) = \pm \frac{1}{2}

\frac{cos ( θ )}{1 + sin ( θ )} = tan (\frac{π}{4} - θ)

sin (x) = \frac{1}{4 sin ( x )}

cos (4 θ) = cos (3 θ)

What is the general solution for solvefor x,arctan(y/x)= pi/4 ?
The general solution for solvefor x,arctan(y/x)= pi/4 is x=y