y=operatorname{asin}alpha-এর সমাধান করুন

$$y = \operatorname { asin } \alpha$$

Solve for a

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

Steps for Solving Linear Equation

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

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

The equation is in standard form.

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

Divide both sides by \sin(\alpha ).

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

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

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

Solve for y

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