What is the general solution for csc(x)= 2/(sqrt(3)) ?

The general solution for csc(x)= 2/(sqrt(3)) is x= pi/3+2pin,x=(2pi)/3+2pin

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csc(x)= 2/(sqrt(3))

csc (x) = \frac{2}{3}

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

Solution steps

csc (x) = \frac{2}{3}

Simplify

\frac{2}{3} : \frac{2 3}{3}

General solutions for

csc (x) = \frac{2 3}{3}

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

8 - 7 cos (x) = 6 sin^{2} (x)

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

1 - sin^{2} (x) = 0

sin (\frac{x}{2}) = - \frac{1}{2}

cot (x) + 1 = csc (x)

What is the general solution for csc(x)= 2/(sqrt(3)) ?
The general solution for csc(x)= 2/(sqrt(3)) is x= pi/3+2pin,x=(2pi)/3+2pin