What is the general solution for sqrt(3)cot(x)=-1,0<= x<= 2pi ?

The general solution for sqrt(3)cot(x)=-1,0<= x<= 2pi is x=(2pi)/3 ,x=(5pi)/3

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sqrt(3)cot(x)=-1,0<= x<= 2pi

3 cot (x) = - 1, 0 \leq x \leq 2 π

x = \frac{2 π}{3}, x = \frac{5 π}{3}

Solution steps

3 cot (x) = - 1, 0 \leq x \leq 2 π

Divide both sides by

3

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

General solutions for

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

x = \frac{2 π}{3} + πn

Solutions for the range

0 \leq x \leq 2 π

x = \frac{2 π}{3}, x = \frac{5 π}{3}

sin (x) = \frac{10}{14}

cos (x) = \frac{9}{15}

8 sin^{2} (x) + 12 sin (x) + 4 = 0

4 sin^{2} (x) = cos (x) + 1

0 = 4 sin (x)

What is the general solution for sqrt(3)cot(x)=-1,0<= x<= 2pi ?
The general solution for sqrt(3)cot(x)=-1,0<= x<= 2pi is x=(2pi)/3 ,x=(5pi)/3