What is the general solution for 5sqrt(3)cot(x)+5=0 ?

The general solution for 5sqrt(3)cot(x)+5=0 is x=(2pi)/3+pin

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5sqrt(3)cot(x)+5=0

53 cot (x) + 5 = 0

x = \frac{2 π}{3} + πn

Solution steps

53 cot (x) + 5 = 0

Move

5

to the right side

53 cot (x) = - 5

Divide both sides by

53

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

General solutions for

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

x = \frac{2 π}{3} + πn

cos (θ) = - \frac{11}{6}

sin^{2} (x) - csc^{2} (x) = tan^{2} (x) - cot^{2} (x)

sin (x) = \frac{53}{54}

2 sin^{2} (x) + sin (x) - 3 = 0

(2 cos (x) - 1) sin (x) = 0

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