Solve d=a/sinalpha

$$d = \frac { a } { \sin \alpha }$$

Solve for a

$$a=d\sin(\alpha )$$

$$\nexists n_{1}\in \mathrm{Z}\text{ : }\alpha =\pi n_{1}$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$\frac{a}{\sin(\alpha )}=d$$

The equation is in standard form.

$$\frac{1}{\sin(\alpha )}a=d$$

Divide both sides by \left(\sin(\alpha )\right)^{-1}.

$$\frac{\frac{1}{\sin(\alpha )}a\sin(\alpha )}{1}=\frac{d\sin(\alpha )}{1}$$

Dividing by \left(\sin(\alpha )\right)^{-1} undoes the multiplication by \left(\sin(\alpha )\right)^{-1}.

$$a=\frac{d\sin(\alpha )}{1}$$

Divide d by \left(\sin(\alpha )\right)^{-1}.

$$a=d\sin(\alpha )$$

Solve for d

$$d=\frac{a}{\sin(\alpha )}$$

$$\nexists n_{1}\in \mathrm{Z}\text{ : }\alpha =\pi n_{1}$$