Solve sinθ=lambda/D

$$\sin \theta = \frac { \lambda } { D }$$

Solve for D

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

Steps for Solving Linear Equation

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

$$D\sin(\theta )=\lambda$$

The equation is in standard form.

$$\sin(\theta )D=\lambda$$

Divide both sides by \sin(\theta ).

$$\frac{\sin(\theta )D}{\sin(\theta )}=\frac{\lambda }{\sin(\theta )}$$

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

$$D=\frac{\lambda }{\sin(\theta )}$$

Variable D cannot be equal to 0.

$$D=\frac{\lambda }{\sin(\theta )}\text{, }D\neq 0$$