What is the general solution for 2tan^3(x)-2/3 tan(x)=0 ?

The general solution for 2tan^3(x)-2/3 tan(x)=0 is x=pin,x=(5pi)/6+pin,x= pi/6+pin

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2tan^3(x)-2/3 tan(x)=0

2 tan^{3} (x) - \frac{2}{3} tan (x) = 0

x = πn, x = \frac{5 π}{6} + πn, x = \frac{π}{6} + πn

Solution steps

2 tan^{3} (x) - \frac{2}{3} tan (x) = 0

Solve by substitution

tan (x) = 0, tan (x) = - \frac{3}{3}, tan (x) = \frac{3}{3}

tan (x) = 0 : x = πn

tan (x) = - \frac{3}{3} : x = \frac{5 π}{6} + πn

tan (x) = \frac{3}{3} : x = \frac{π}{6} + πn

Combine all the solutions

x = πn, x = \frac{5 π}{6} + πn, x = \frac{π}{6} + πn

sin (2 x) = sin (3 x)

8 sin (θ) - 1 = 6 sin (θ)

tan (x) = \frac{50}{42}

0.2 = cos (2 π t)

4 cos^{2} (2 x) - 1 = 1, 0 \leq x \leq 2 π

What is the general solution for 2tan^3(x)-2/3 tan(x)=0 ?
The general solution for 2tan^3(x)-2/3 tan(x)=0 is x=pin,x=(5pi)/6+pin,x= pi/6+pin