Solve ydiv10=sin(x)

$$y \div 10= \sin ( x )$$

Solve for y

$$y=10\sin(x)$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\frac{1}{10}y=\sin(x)$$

Multiply both sides by 10.

$$\frac{\frac{1}{10}y}{\frac{1}{10}}=\frac{\sin(x)}{\frac{1}{10}}$$

Dividing by \frac{1}{10} undoes the multiplication by \frac{1}{10}.

$$y=\frac{\sin(x)}{\frac{1}{10}}$$

Divide \sin(x) by \frac{1}{10} by multiplying \sin(x) by the reciprocal of \frac{1}{10}.

$$y=10\sin(x)$$

Solve for x

$$x=-\arcsin(\frac{y}{10})+2\pi n_{1}+\pi \text{, }n_{1}\in \mathrm{Z}$$

$$x=\arcsin(\frac{y}{10})+2\pi n_{2}\text{, }n_{2}\in \mathrm{Z}\text{, }|y|\leq 10$$