What is the general solution for tan^3(x)=1 ?

The general solution for tan^3(x)=1 is x= pi/4+pin

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tan^3(x)=1

tan^{3} (x) = 1

x = \frac{π}{4} + πn

Solution steps

tan^{3} (x) = 1

Solve by substitution

tan (x) = 1, tan (x) = - \frac{1}{2} + i \frac{3}{2}, tan (x) = - \frac{1}{2} - i \frac{3}{2}

tan (x) = 1 : x = \frac{π}{4} + πn

tan (x) = - \frac{1}{2} + i \frac{3}{2} :

No Solution

tan (x) = - \frac{1}{2} - i \frac{3}{2} :

No Solution

Combine all the solutions

x = \frac{π}{4} + πn

sin^{2} (x) - 9 cos (x) - 9 = 0

sin (a) = \frac{8}{17}

cot (t) = 1

4 sin (x) + 3 = 5

tan (θ) = \frac{3}{3}

What is the general solution for tan^3(x)=1 ?
The general solution for tan^3(x)=1 is x= pi/4+pin