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

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

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2tan^2(x)-6=0

2 tan^{2} (x) - 6 = 0

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

Solution steps

2 tan^{2} (x) - 6 = 0

Solve by substitution

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

tan (x) = 3 : x = \frac{π}{3} + πn

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

Combine all the solutions

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

0 = 2 sin (x) - 1

t, x = cos (2 t)

- 9 sin^{2} (θ) - 3 cos (θ) + 2 = - 5

csc (x) = - 1 + cot (x)

2 sin (3 x) = 3

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