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

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

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2sin(x)=-3

2 sin (x) = - 3

No Solution for x \in R

Solution steps

2 sin (x) = - 3

Divide both sides by

2

2 sin (x) = - 3

Divide both sides by

2

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

Simplify

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

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

- 1 \leq sin (x) \leq 1

No Solution for x \in R

tan (θ) = \frac{- 12}{5}, cot (θ)

3 cos (1 x) = - sin (1 x)

0 = 3 cos (θ)

1 - 3 sin^{2} (x) = cos^{2} (x) - sin^{2} (x)

sin^{2} (θ) - sin (θ) + 1 = cos^{2} (θ)

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