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

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

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solvefor x,z=tan(x)y

solve for

x, z = tan (x) y

x = arctan (\frac{z}{y}) + πn

Solution steps

z = tan (x) y

Switch sides

tan (x) y = z

Divide both sides by

y; y \neq = 0

tan (x) y = z

Divide both sides by

y; y \neq = 0

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

Simplify

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

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

Apply trig inverse properties

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

General solutions for

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

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

x = arctan (\frac{z}{y}) + πn

x = arctan (\frac{z}{y}) + πn

- 6 sin (θ) + 4 = 33 + 4

- 6 sin (x) + 3 sin (2 x) = 0

- sin (2 θ) - cos (4 θ) = 0, 0 \leq θ \leq 2 π

x, cos^{2} (x) - y^{2} + 3 = 0

cot (x) + 1 = 0, 0 \leq x \leq 2 π

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