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

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

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csc(θ)=(-2sqrt(3))/3

csc (θ) = \frac{- 2 3}{3}

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

Degrees

θ = 24 0^{\circ} + 36 0^{\circ} n, θ = 30 0^{\circ} + 36 0^{\circ} n

Solution steps

csc (θ) = \frac{- 2 3}{3}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

csc (θ) = - \frac{2 3}{3}

General solutions for

csc (θ) = - \frac{2 3}{3}

csc (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} csc (x) Undefiend 22 \frac{2 3}{3} 1 \frac{2 3}{3} 22 x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} csc (x) Undefiend - 2 - 2 - \frac{2 3}{3} - 1 - \frac{2 3}{3} - 2 - 2

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

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

cos (x) = \frac{32}{50}

tan (\frac{A}{2}) = 1.02

(sin (a) + cos (a))^{2} + (sin (a) + cos (a))^{2} = 2

h = 3 sin (2 x - 1) + 4

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

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