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

The general solution for csc(θ/2)=-2/(sqrt(3)) is θ=(8pi)/3+4pin,θ=(10pi)/3+4pin

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csc(θ/2)=-2/(sqrt(3))

csc (\frac{θ}{2}) = - \frac{2}{3}

θ = \frac{8 π}{3} + 4 πn, θ = \frac{10 π}{3} + 4 πn

Solution steps

csc (\frac{θ}{2}) = - \frac{2}{3}

Simplify

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

General solutions for

csc (\frac{θ}{2}) = - \frac{2 3}{3}

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

Solve

\frac{θ}{2} = \frac{4 π}{3} + 2 πn : θ = \frac{8 π}{3} + 4 πn

Solve

\frac{θ}{2} = \frac{5 π}{3} + 2 πn : θ = \frac{10 π}{3} + 4 πn

θ = \frac{8 π}{3} + 4 πn, θ = \frac{10 π}{3} + 4 πn

x, - 2 sin (x) + 2 cos (2 x) = 0

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

2 sin (3 θ) + 1 = 0

sin (a) = 0.7245

3 tan (\frac{x}{4}) + 5 = 4

What is the general solution for csc(θ/2)=-2/(sqrt(3)) ?
The general solution for csc(θ/2)=-2/(sqrt(3)) is θ=(8pi)/3+4pin,θ=(10pi)/3+4pin