What is the general solution for (sin(x))/2 =1 ?

The general solution for (sin(x))/2 =1 is No Solution for x\in\mathbb{R}

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(sin(x))/2 =1

\frac{sin ( x )}{2} = 1

No Solution for x \in R

Solution steps

\frac{sin ( x )}{2} = 1

Multiply both sides by

2

\frac{sin ( x )}{2} = 1

Multiply both sides by

2

\frac{2 sin ( x )}{2} = 1 \cdot 2

Simplify

sin (x) = 2

sin (x) = 2

- 1 \leq sin (x) \leq 1

No Solution for x \in R

x, tan (x) = - 3

- 9 sin^{2} (x) - 5 cos (x) + 5 = 0

cos (t) = - \frac{3}{5}

2 - sin (θ) = 3 sin (θ)

- cos (\frac{x}{2}) + sin (\frac{x}{2}) = \frac{2}{5}

What is the general solution for (sin(x))/2 =1 ?
The general solution for (sin(x))/2 =1 is No Solution for x\in\mathbb{R}