What is the general solution for csc(θ)=-2,0<= θ<= 360 ?

The general solution for csc(θ)=-2,0<= θ<= 360 is θ=210,θ=330

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csc(θ)=-2,0<= θ<= 360

csc (θ) = - 2, 0^{\circ} \leq θ \leq 36 0^{\circ}

θ = 21 0^{\circ}, θ = 33 0^{\circ}

Radians

θ = \frac{7 π}{6}, θ = \frac{11 π}{6}

Solution steps

csc (θ) = - 2, 0^{\circ} \leq θ \leq 36 0^{\circ}

General solutions for

csc (θ) = - 2

csc (x)

periodicity table with

36 0^{\circ} n

cycle:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} csc (x) Undefiend 22 \frac{2 3}{3} 1 \frac{2 3}{3} 22 x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} csc (x) Undefiend - 2 - 2 - \frac{2 3}{3} - 1 - \frac{2 3}{3} - 2 - 2

θ = 21 0^{\circ} + 36 0^{\circ} n, θ = 33 0^{\circ} + 36 0^{\circ} n

θ = 21 0^{\circ} + 36 0^{\circ} n, θ = 33 0^{\circ} + 36 0^{\circ} n

Solutions for the range

0 \leq θ \leq 36 0^{\circ}

θ = 21 0^{\circ}, θ = 33 0^{\circ}

What is the general solution for csc(θ)=-2,0<= θ<= 360 ?
The general solution for csc(θ)=-2,0<= θ<= 360 is θ=210,θ=330