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

The general solution for 3tan^2(x)-3=0 is x= pi/4+pin,x=(3pi)/4+pin

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3tan^2(x)-3=0

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

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

Solution steps

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

Solve by substitution

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

tan (x) = 1 : x = \frac{π}{4} + πn

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

Combine all the solutions

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

2 sin (θ) = cos (θ)

2 cos (x) = - 1

2 sec (u) sin (u) + 2 = 4 sin (u) + sec (u)

4 cos^{2} (x) - 1 = 0, 0 \leq x < 2 π

y, e^{2 x} = sin (x + 3 y)

What is the general solution for 3tan^2(x)-3=0 ?
The general solution for 3tan^2(x)-3=0 is x= pi/4+pin,x=(3pi)/4+pin