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

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

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solvefor y,x=tan(y^2)

solve for

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

y = arctan (x) + πn, y = - arctan (x) + πn

Solution steps

x = tan (y^{2})

Switch sides

tan (y^{2}) = x

Apply trig inverse properties

y^{2} = arctan (x) + πn

Solve

y^{2} = arctan (x) + πn : y = arctan (x) + πn, y = - arctan (x) + πn

y = arctan (x) + πn, y = - arctan (x) + πn

cos^{2} (2 x) + cos (2 x) = 0

sin (x) = - 0.2761

3 arcsin (x) = \frac{π}{2}, x

sin^{2} (θ) - \frac{1}{2} sin (θ) - \frac{1}{2} = 0

tan^{2} (x) - sec (x) + 1 = 0

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