What is the general solution for solvefor x,z=arctan(xy) ?

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

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solvefor x,z=arctan(xy)

solve for

x, z = arctan (x y)

x = \frac{tan ( z )}{y}

Solution steps

z = arctan (x y)

Switch sides

arctan (x y) = z

Apply trig inverse properties

arctan (x y) = z

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

x y = tan (z)

x y = tan (z)

Solve

x y = tan (z) : x = \frac{tan ( z )}{y}; y \neq = 0

x y = tan (z)

Divide both sides by

y; y \neq = 0

x y = tan (z)

Divide both sides by

y; y \neq = 0

\frac{x y}{y} = \frac{tan ( z )}{y}; y \neq = 0

Simplify

x = \frac{tan ( z )}{y}; y \neq = 0

x = \frac{tan ( z )}{y}; y \neq = 0

x = \frac{tan ( z )}{y}

4 (1 + sin (θ)) sin (θ) = 3

cos (x) + 1 = - cos (2 x)

(sin (x) - 5) (sin (x) - 1) = 0

cos (x) + \frac{3}{2} = 0

sin (6 x) = \frac{1}{2}

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