What is the general solution for -12cot(x)-4sqrt(3)=0 ?

The general solution for -12cot(x)-4sqrt(3)=0 is x=(2pi)/3+pin

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-12cot(x)-4sqrt(3)=0

- 12 cot (x) - 43 = 0

x = \frac{2 π}{3} + πn

Solution steps

- 12 cot (x) - 43 = 0

Move

43

to the right side

- 12 cot (x) = 43

Divide both sides by

- 12

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

General solutions for

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

x = \frac{2 π}{3} + πn

3 sin^{2} (t) = 2 cos (t) sin (t)

sin (x + \frac{π}{4}) + sin (x - \frac{π}{4}) = 0

cos (x) (tan (x) + \frac{cos ( x )}{sin ( x )}) = 2

2 cos (2 x) + sin (x) = \frac{1}{2}

2 cos^{2} (x) + cos (x) + 1 = 0

What is the general solution for -12cot(x)-4sqrt(3)=0 ?
The general solution for -12cot(x)-4sqrt(3)=0 is x=(2pi)/3+pin