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

The general solution for sqrt(3)csc(3x)=-2 is x=(4pi)/9+(2pin)/3 ,x=(5pi)/9+(2pin)/3

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

3 csc (3 x) = - 2

x = \frac{4 π}{9} + \frac{2 πn}{3}, x = \frac{5 π}{9} + \frac{2 πn}{3}

Solution steps

3 csc (3 x) = - 2

Divide both sides by

3

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

General solutions for

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

3 x = \frac{4 π}{3} + 2 πn, 3 x = \frac{5 π}{3} + 2 πn

Solve

3 x = \frac{4 π}{3} + 2 πn : x = \frac{4 π}{9} + \frac{2 πn}{3}

Solve

3 x = \frac{5 π}{3} + 2 πn : x = \frac{5 π}{9} + \frac{2 πn}{3}

x = \frac{4 π}{9} + \frac{2 πn}{3}, x = \frac{5 π}{9} + \frac{2 πn}{3}

2 cos (2 θ) + 1 = - 12 cos (θ) - 6

- 3 cos (2 θ) - 9 cos (θ) - 2 = 2 cos (θ) - 6

23 sin (x^{2}) = 3

cos (4 α) - cos (2 α) = sin (3 α)

3 sec (2 x) + 2 = 0, 0 \leq x < 2 π

What is the general solution for sqrt(3)csc(3x)=-2 ?
The general solution for sqrt(3)csc(3x)=-2 is x=(4pi)/9+(2pin)/3 ,x=(5pi)/9+(2pin)/3