What is the general solution for sqrt(3)cot(2x)+3=0 ?

The general solution for sqrt(3)cot(2x)+3=0 is x=(5pi}{12}+\frac{pin)/2

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sqrt(3)cot(2x)+3=0

3 cot (2 x) + 3 = 0

x = \frac{5 π}{12} + \frac{πn}{2}

Solution steps

3 cot (2 x) + 3 = 0

Move

3

to the right side

3 cot (2 x) = - 3

Divide both sides by

3

cot (2 x) = - 3

General solutions for

cot (2 x) = - 3

2 x = \frac{5 π}{6} + πn

Solve

2 x = \frac{5 π}{6} + πn : x = \frac{5 π}{12} + \frac{πn}{2}

x = \frac{5 π}{12} + \frac{πn}{2}

\frac{1}{cos ( θ )} = 2

θ, r = sin (2 θ)

cos (θ) = \frac{7}{25}, \frac{3 π}{2} < θ < 2 π

5 (1 - sin (θ)) = 5

x, cos (x) = - 1

What is the general solution for sqrt(3)cot(2x)+3=0 ?
The general solution for sqrt(3)cot(2x)+3=0 is x=(5pi}{12}+\frac{pin)/2