What is the general solution for 4sin(θ)+2sqrt(3)=0 ?

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

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4sin(θ)+2sqrt(3)=0

4 sin (θ) + 23 = 0

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

Solution steps

4 sin (θ) + 23 = 0

Move

23

to the right side

4 sin (θ) = - 23

Divide both sides by

4

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

400 + 290 cos (x) + 290 sin (x) = 0

2 = 2 sin (2 θ)

4 sin^{2} (x) + 4 cos (x) - 5 = 0, (0, 2 π)

a, E = 25 (sin (a) - cos (a))

391 = 78 \cdot 21.5 \cdot cos (x)

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