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

The general solution for sqrt(3)sin(x)=2 is No Solution for x\in\mathbb{R}

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sqrt(3)sin(x)=2

3 sin (x) = 2

No Solution for x \in R

Solution steps

3 sin (x) = 2

Divide both sides by

3

3 sin (x) = 2

Divide both sides by

3

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

Simplify

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

Simplify

\frac{3 sin ( x )}{3} : sin (x)

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

Cancel the common factor:

3

= sin (x)

Simplify

\frac{2}{3} : \frac{2 3}{3}

\frac{2}{3}

Multiply by the conjugate

\frac{3}{3}

= \frac{2 3}{3 3}

33 = 3

33

Apply radical rule:

a a = a

33 = 3

= 3

= \frac{2 3}{3}

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

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

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

- 1 \leq sin (x) \leq 1

No Solution for x \in R

\frac{sin ( 7 4 ^{\circ} )}{8} = \frac{sin ( a )}{4}

sin (x) = sin (x - \frac{π}{2})

tan (x) = \frac{π}{3}

- 7 tan (a) - 14 = tan (a) - 6

cos (x) = - 0.58

What is the general solution for sqrt(3)sin(x)=2 ?
The general solution for sqrt(3)sin(x)=2 is No Solution for x\in\mathbb{R}