What is the general solution for sin(y)+2=0 ?

The general solution for sin(y)+2=0 is No Solution for y\in\mathbb{R}

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sin(y)+2=0

sin (y) + 2 = 0

No Solution for y \in R

Solution steps

sin (y) + 2 = 0

Move

2

to the right side

sin (y) + 2 = 0

Subtract

2

from both sides

sin (y) + 2 - 2 = 0 - 2

Simplify

sin (y) = - 2

sin (y) = - 2

- 1 \leq sin (x) \leq 1

No Solution for y \in R

sin (θ) cos (θ) - 2 sin (θ) = 0

2 sin (2 x - \frac{π}{3}) = 1

sin (x) = \frac{15}{23}

4 sin^{2} (x) = 3, + [0, + 2 π]

6 sin (θ) - 1 = 4 sin (θ)

What is the general solution for sin(y)+2=0 ?
The general solution for sin(y)+2=0 is No Solution for y\in\mathbb{R}