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

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

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solvefor t,x=tan^2(t)

solve for

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

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

Solution steps

x = tan^{2} (t)

Switch sides

tan^{2} (t) = x

Solve by substitution

tan (t) = x, tan (t) = - x

tan (t) = x : t = arctan (x) + πn

tan (t) = - x : t = arctan (- x) + πn

Combine all the solutions

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

sin (x) = 0.8246

cos^{3} (x) + cos (x) = 0

sin (θ) = \frac{1}{3}, cos (θ) = \frac{2 2}{3}

sin (2 x) = \frac{3}{4}

sin (3 θ) - sin (5 θ) = sin (θ), 0 \leq θ \leq \frac{π}{2}

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