What is the general solution for 2cot^2(x)=6 ?

The general solution for 2cot^2(x)=6 is x= pi/6+pin,x=(5pi)/6+pin

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2cot^2(x)=6

2 cot^{2} (x) = 6

x = \frac{π}{6} + πn, x = \frac{5 π}{6} + πn

Solution steps

2 cot^{2} (x) = 6

Solve by substitution

cot (x) = 3, cot (x) = - 3

cot (x) = 3 : x = \frac{π}{6} + πn

cot (x) = - 3 : x = \frac{5 π}{6} + πn

Combine all the solutions

x = \frac{π}{6} + πn, x = \frac{5 π}{6} + πn

sin (x) = 0.3456

5 cos^{2} (x) + 3 cos (x) = 0, (0, 2 π)

cos (x) - 2 sin (2 x) = 0

x, cos (2 x) = \frac{3}{2}

tan (\frac{2 θ}{3}) + 3 = 0

What is the general solution for 2cot^2(x)=6 ?
The general solution for 2cot^2(x)=6 is x= pi/6+pin,x=(5pi)/6+pin