What is the general solution for 1/4 sin(x)+1=0 ?

The general solution for 1/4 sin(x)+1=0 is No Solution for x\in\mathbb{R}

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1/4 sin(x)+1=0

\frac{1}{4} sin (x) + 1 = 0

No Solution for x \in R

Solution steps

\frac{1}{4} sin (x) + 1 = 0

Move

1

to the right side

\frac{1}{4} sin (x) + 1 = 0

Subtract

1

from both sides

\frac{1}{4} sin (x) + 1 - 1 = 0 - 1

Simplify

\frac{1}{4} sin (x) = - 1

\frac{1}{4} sin (x) = - 1

Multiply both sides by

4

\frac{1}{4} sin (x) = - 1

Multiply both sides by

4

4 \cdot \frac{1}{4} sin (x) = 4 (- 1)

Simplify

sin (x) = - 4

sin (x) = - 4

- 1 \leq sin (x) \leq 1

No Solution for x \in R

cos (x) sin (x) + 5 sin (x) = 0

2 sin (x) + 3 = 2

\frac{cos ( x )}{sin ( x )} = 0

sin (2 x) + 3 cos (2 x) = 0

7 cos (x) tan (x) - 5 tan (x) = 0

What is the general solution for 1/4 sin(x)+1=0 ?
The general solution for 1/4 sin(x)+1=0 is No Solution for x\in\mathbb{R}