What is the general solution for 0=sqrt(3)-2sin(x) ?

The general solution for 0=sqrt(3)-2sin(x) is x= pi/3+2pin,x=(2pi)/3+2pin

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0=sqrt(3)-2sin(x)

0 = 3 - 2 sin (x)

x = \frac{π}{3} + 2 πn, x = \frac{2 π}{3} + 2 πn

Solution steps

0 = 3 - 2 sin (x)

Switch sides

3 - 2 sin (x) = 0

Move

3

to the right side

- 2 sin (x) = - 3

Divide both sides by

- 2

sin (x) = \frac{3}{2}

General solutions for

sin (x) = \frac{3}{2}

x = \frac{π}{3} + 2 πn, x = \frac{2 π}{3} + 2 πn

- 2 sin^{2} (θ) + cos (θ) = - 1

4 cos (θ) = 4 (1 - cos (θ))

2 cos (x) = 1.7

sin (2 x + 30) = 0.8

1 - 2 sin (x) = - 1

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