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

The general solution for 2cot^2(2x)=6 is x= pi/(12)+(pin)/2 ,x=(5pi}{12}+\frac{pin)/2

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2cot^2(2x)=6

2 cot^{2} (2 x) = 6

x = \frac{π}{12} + \frac{πn}{2}, x = \frac{5 π}{12} + \frac{πn}{2}

Solution steps

2 cot^{2} (2 x) = 6

Solve by substitution

cot (2 x) = 3, cot (2 x) = - 3

cot (2 x) = 3 : x = \frac{π}{12} + \frac{πn}{2}

cot (2 x) = - 3 : x = \frac{5 π}{12} + \frac{πn}{2}

Combine all the solutions

x = \frac{π}{12} + \frac{πn}{2}, x = \frac{5 π}{12} + \frac{πn}{2}

- 3 sin (y) = 0

cos (x) = \frac{4}{9}

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

tan^{2} (x) + 5 tan (x) + 2 = 0

2 sin^{2} (x) + 3 cos (2 x) = 2

What is the general solution for 2cot^2(2x)=6 ?
The general solution for 2cot^2(2x)=6 is x= pi/(12)+(pin)/2 ,x=(5pi}{12}+\frac{pin)/2