What is the general solution for sqrt(3)csc(θ)+2=0,0<= θ<= 2pi ?

The general solution for sqrt(3)csc(θ)+2=0,0<= θ<= 2pi is θ=(4pi)/3 ,θ=(5pi)/3

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sqrt(3)csc(θ)+2=0,0<= θ<= 2pi

3 csc (θ) + 2 = 0, 0 \leq θ \leq 2 π

θ = \frac{4 π}{3}, θ = \frac{5 π}{3}

Solution steps

3 csc (θ) + 2 = 0, 0 \leq θ \leq 2 π

Move

2

to the right side

3 csc (θ) = - 2

Divide both sides by

3

csc (θ) = - \frac{2 3}{3}

General solutions for

csc (θ) = - \frac{2 3}{3}

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

Solutions for the range

0 \leq θ \leq 2 π

θ = \frac{4 π}{3}, θ = \frac{5 π}{3}

2 cos^{2} (x) - cos (x) = 3

4 cos (t) = 3

(sin (2 x)) sin (x) = cos (x)

4 sin (x) cos (x) - 1 = 0

sin (a) = \frac{2}{5}

What is the general solution for sqrt(3)csc(θ)+2=0,0<= θ<= 2pi ?
The general solution for sqrt(3)csc(θ)+2=0,0<= θ<= 2pi is θ=(4pi)/3 ,θ=(5pi)/3