What is the general solution for 2sin(θ)+sqrt(3)=0 ?

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

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2sin(θ)+sqrt(3)=0

2 sin (θ) + 3 = 0

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

Solution steps

2 sin (θ) + 3 = 0

Move

3

to the right side

2 sin (θ) = - 3

Divide both sides by

2

sin (θ) = - \frac{3}{2}

General solutions for

sin (θ) = - \frac{3}{2}

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

cos (2 x) = \frac{1}{2}

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

arccsc (\frac{2 3}{3})

csc (θ) + 2 = 0

csc (x) = 2

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