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

The general solution for solvefor x,θ=arctan(y/x) is x= y/(tan(θ))

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solvefor x,θ=arctan(y/x)

solve for

x, θ = arctan (\frac{y}{x})

x = \frac{y}{tan ( θ )}

Solution steps

θ = arctan (\frac{y}{x})

Switch sides

arctan (\frac{y}{x}) = θ

Apply trig inverse properties

arctan (\frac{y}{x}) = θ

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

\frac{y}{x} = tan (θ)

\frac{y}{x} = tan (θ)

Solve

\frac{y}{x} = tan (θ) : x = \frac{y}{tan ( θ )}; θ \neq = πn

\frac{y}{x} = tan (θ)

Multiply both sides by

x

\frac{y}{x} = tan (θ)

Multiply both sides by

x

\frac{y}{x} x = tan (θ) x

Simplify

y = tan (θ) x

y = tan (θ) x

Switch sides

tan (θ) x = y

Divide both sides by

tan (θ); θ \neq = πn

tan (θ) x = y

Divide both sides by

tan (θ); θ \neq = πn

\frac{tan ( θ ) x}{tan ( θ )} = \frac{y}{tan ( θ )}; θ \neq = πn

Simplify

x = \frac{y}{tan ( θ )}; θ \neq = πn

x = \frac{y}{tan ( θ )}; θ \neq = πn

x = \frac{y}{tan ( θ )}

cos (x) tan (x) = 10 tan (x)

cos (2 x) = \frac{3}{5}

- 4 cos (2 x) = 0

x, arcsin (y) = arcsin (x) + \frac{π}{3}

t, f = cos (b t)

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