What is the general solution for tan^3(x)-2tan(x)=tan(x) ?

The general solution for tan^3(x)-2tan(x)=tan(x) is x=pin,x=(2pi)/3+pin,x= pi/3+pin

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tan^3(x)-2tan(x)=tan(x)

tan^{3} (x) - 2 tan (x) = tan (x)

x = πn, x = \frac{2 π}{3} + πn, x = \frac{π}{3} + πn

Solution steps

tan^{3} (x) - 2 tan (x) = tan (x)

Solve by substitution

tan (x) = 0, tan (x) = - 3, tan (x) = 3

tan (x) = 0 : x = πn

tan (x) = - 3 : x = \frac{2 π}{3} + πn

tan (x) = 3 : x = \frac{π}{3} + πn

Combine all the solutions

x = πn, x = \frac{2 π}{3} + πn, x = \frac{π}{3} + πn

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

sin (x + 1 6^{\circ}) = cos (11 x + 2)

2 csc (θ) + 2 = 0

cos (x + 2 π) = 1 - cos (x - 2 π)

sin^{4} (\frac{x}{3}) + cos^{4} (\frac{x}{3}) = \frac{5}{8}

What is the general solution for tan^3(x)-2tan(x)=tan(x) ?
The general solution for tan^3(x)-2tan(x)=tan(x) is x=pin,x=(2pi)/3+pin,x= pi/3+pin