Solve sinθ/2=1/M

$$\sin \frac { \theta } { 2 } = \frac { 1 } { M }$$

Solve for M

$$M=\frac{1}{\sin(\frac{\theta }{2})}$$

$$\nexists n_{1}\in \mathrm{Z}\text{ : }\theta =2\pi n_{1}$$

Steps for Solving Linear Equation

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

$$M\sin(\frac{\theta }{2})=1$$

The equation is in standard form.

$$\sin(\frac{\theta }{2})M=1$$

Divide both sides by \sin(\frac{1}{2}\theta ).

$$\frac{\sin(\frac{\theta }{2})M}{\sin(\frac{\theta }{2})}=\frac{1}{\sin(\frac{\theta }{2})}$$

Dividing by \sin(\frac{1}{2}\theta ) undoes the multiplication by \sin(\frac{1}{2}\theta ).

$$M=\frac{1}{\sin(\frac{\theta }{2})}$$

Variable M cannot be equal to 0.

$$M=\frac{1}{\sin(\frac{\theta }{2})}\text{, }M\neq 0$$