What is the general solution for sqrt(3)cot(2x)=-1 ?

The general solution for sqrt(3)cot(2x)=-1 is x= pi/3+(pin)/2

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sqrt(3)cot(2x)=-1

3 cot (2 x) = - 1

x = \frac{π}{3} + \frac{πn}{2}

Solution steps

3 cot (2 x) = - 1

Divide both sides by

3

cot (2 x) = - \frac{3}{3}

General solutions for

cot (2 x) = - \frac{3}{3}

2 x = \frac{2 π}{3} + πn

Solve

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

x = \frac{π}{3} + \frac{πn}{2}

sin^{2} (x) - 1 = cos^{2} (x)

cos (θ) = 3

sin (θ) = 0.8

6 sec (x) + 6 tan (x) = 6

sin (θ) - sin (2 θ) = 0

What is the general solution for sqrt(3)cot(2x)=-1 ?
The general solution for sqrt(3)cot(2x)=-1 is x= pi/3+(pin)/2