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

The general solution for tan^3(x)-tan(x)=0 is x=pin,x=(3pi)/4+pin,x= pi/4+pin

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

tan^{3} (x) - tan (x) = 0

x = πn, x = \frac{3 π}{4} + πn, x = \frac{π}{4} + πn

Solution steps

tan^{3} (x) - tan (x) = 0

Solve by substitution

tan (x) = 0, tan (x) = - 1, tan (x) = 1

tan (x) = 0 : x = πn

tan (x) = - 1 : x = \frac{3 π}{4} + πn

tan (x) = 1 : x = \frac{π}{4} + πn

Combine all the solutions

x = πn, x = \frac{3 π}{4} + πn, x = \frac{π}{4} + πn

8 sin (θ) - 1 = 0

4 sin (θ) cos (θ) = 1

- 64 sin (8 x) = 0

cos (θ) = - 3

tan (θ) = \frac{6}{8}

What is the general solution for tan^3(x)-tan(x)=0 ?
The general solution for tan^3(x)-tan(x)=0 is x=pin,x=(3pi)/4+pin,x= pi/4+pin