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

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

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-pi/2 =1-2sin(x)

- \frac{π}{2} = 1 - 2 sin (x)

No Solution for x \in R

Solution steps

- \frac{π}{2} = 1 - 2 sin (x)

Switch sides

1 - 2 sin (x) = - \frac{π}{2}

Move

1

to the right side

- 2 sin (x) = - \frac{π}{2} - 1

Divide both sides by

- 2

sin (x) = \frac{π + 2}{4}

- 1 \leq sin (x) \leq 1

No Solution for x \in R

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2 cos^{2} (t) = sin^{2} (t)

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