What is the general solution for 6tan^2(x)-2=4 ?

The general solution for 6tan^2(x)-2=4 is x= pi/4+pin,x=(3pi)/4+pin

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6tan^2(x)-2=4

6 tan^{2} (x) - 2 = 4

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

Solution steps

6 tan^{2} (x) - 2 = 4

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

cos (2 x + \frac{π}{3}) = \frac{1}{2}

x, tan (x \cdot y!) = 1

sec^{2} (x) - 5 sec (x) = 0

8 sin (x) cos (x) = 12

cos (x) = \frac{1}{5}

What is the general solution for 6tan^2(x)-2=4 ?
The general solution for 6tan^2(x)-2=4 is x= pi/4+pin,x=(3pi)/4+pin