What is the general solution for (7pi)/2 =7-3sin(x) ?

The general solution for (7pi)/2 =7-3sin(x) is No Solution for x\in\mathbb{R}

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(7pi)/2 =7-3sin(x)

\frac{7 π}{2} = 7 - 3 sin (x)

No Solution for x \in R

Solution steps

\frac{7 π}{2} = 7 - 3 sin (x)

Switch sides

7 - 3 sin (x) = \frac{7 π}{2}

Move

7

to the right side

- 3 sin (x) = \frac{7 π}{2} - 7

Divide both sides by

- 3

sin (x) = - \frac{7 π - 14}{6}

- 1 \leq sin (x) \leq 1

No Solution for x \in R

- 10 sin (y) = 0

4 cos^{2} (x) + 2 sin (x) = 3

sin (x) = sin (2 x), 0 \leq x \leq 2 π

\frac{1}{cos ( x )} = tan (x)

2 cos^{2} (x) - cos (x) - 1 = 0, (0, 2 π)

What is the general solution for (7pi)/2 =7-3sin(x) ?
The general solution for (7pi)/2 =7-3sin(x) is No Solution for x\in\mathbb{R}