What is the general solution for solvefor x,z=y^2tan(x) ?

The general solution for solvefor x,z=y^2tan(x) is x=arctan(z/(y^2))+pin

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solvefor x,z=y^2tan(x)

solve for

x, z = y^{2} tan (x)

x = arctan (\frac{z}{y ^{2}}) + πn

Solution steps

z = y^{2} tan (x)

Switch sides

y^{2} tan (x) = z

Divide both sides by

y^{2}; y \neq = 0

y^{2} tan (x) = z

Divide both sides by

y^{2}; y \neq = 0

\frac{y ^{2} tan ( x )}{y ^{2}} = \frac{z}{y ^{2}}; y \neq = 0

Simplify

tan (x) = \frac{z}{y ^{2}}; y \neq = 0

tan (x) = \frac{z}{y ^{2}}; y \neq = 0

Apply trig inverse properties

tan (x) = \frac{z}{y ^{2}}

General solutions for

tan (x) = \frac{z}{y ^{2}}

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

x = arctan (\frac{z}{y ^{2}}) + πn

x = arctan (\frac{z}{y ^{2}}) + πn

cos (t) = (sin (t) = \frac{1}{2}), 0 \leq t < \frac{π}{2}

cos (x) = \frac{10}{15}

\frac{sin ( b )}{350} = \frac{sin ( 15 3 ^{\circ} )}{536}

- 1 - 2 cos^{2} (x) + 3 cos (x) = 0

2 cos (2 x) + cos (x) = 0

What is the general solution for solvefor x,z=y^2tan(x) ?
The general solution for solvefor x,z=y^2tan(x) is x=arctan(z/(y^2))+pin