Solve sinx=a/c

$$\sin x = \frac { a } { c }$$

Solve for c

$$\left\{\begin{matrix}c=\frac{a}{\sin(x)}\text{, }&a\neq 0\text{ and }\nexists n_{1}\in \mathrm{Z}\text{ : }x=\pi n_{1}\\c\neq 0\text{, }&\exists n_{1}\in \mathrm{Z}\text{ : }x=\pi n_{1}\text{ and }a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable c cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by c.

$$c\sin(x)=a$$

The equation is in standard form.

$$\sin(x)c=a$$

Divide both sides by \sin(x).

$$\frac{\sin(x)c}{\sin(x)}=\frac{a}{\sin(x)}$$

Dividing by \sin(x) undoes the multiplication by \sin(x).

$$c=\frac{a}{\sin(x)}$$

Variable c cannot be equal to 0.

$$c=\frac{a}{\sin(x)}\text{, }c\neq 0$$

Solve for a

$$a=c\sin(x)$$

$$c\neq 0$$