What is the general solution for 2tan^3(x)-6tan(x)=0,0<= x<= pi ?

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

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2tan^3(x)-6tan(x)=0,0<= x<= pi

2 tan^{3} (x) - 6 tan (x) = 0, 0 \leq x \leq π

x = 0, x = π, x = \frac{2 π}{3}, x = \frac{π}{3}

Solution steps

2 tan^{3} (x) - 6 tan (x) = 0, 0 \leq x \leq π

Solve by substitution

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

tan (x) = 0, 0 \leq x \leq π : x = 0, x = π

tan (x) = - 3, 0 \leq x \leq π : x = \frac{2 π}{3}

tan (x) = 3, 0 \leq x \leq π : x = \frac{π}{3}

Combine all the solutions

x = 0, x = π, x = \frac{2 π}{3}, x = \frac{π}{3}

5 cos (x) = 5 cos (2 x)

cos (4 θ) = cos (2 θ)

3 cos (3 x) = 2

sec (θ) - 2 = - tan (θ) - 3

sin^{2} (x) - sin (x) = 1

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