Atrisiniet r=Q(1-sinθ)

$$r = Q ( 1 - \sin \theta )$$

Atrast Q

$$\left\{\begin{matrix}Q=-\frac{r}{\sin(\theta )-1}\text{, }&\nexists n_{1}\in \mathrm{Z}\text{ : }\theta =2\pi n_{1}+\frac{\pi }{2}\\Q\in \mathrm{R}\text{, }&r=0\text{ and }\exists n_{1}\in \mathrm{Z}\text{ : }\theta =2\pi n_{1}+\frac{\pi }{2}\end{matrix}\right,$$

Lineāra vienādojuma risināšanas darbības

Mainiet puses tā, lai visi mainīgie locekļi atrastos pa kreisi.

$$Q\left(1-\sin(\theta )\right)=r$$

Izmantojiet distributīvo īpašību, lai reizinātu Q ar 1-\sin(\theta ).

$$Q-Q\sin(\theta )=r$$

Savelciet visus locekļus, kuros ir Q.

$$\left(1-\sin(\theta )\right)Q=r$$

Vienādojums ir standarta formā.

$$\left(-\sin(\theta )+1\right)Q=r$$

Daliet abas puses ar 1-\sin(\theta ).

$$\frac{\left(-\sin(\theta )+1\right)Q}{-\sin(\theta )+1}=\frac{r}{-\sin(\theta )+1}$$

Dalīšana ar 1-\sin(\theta ) atsauc reizināšanu ar 1-\sin(\theta ).

$$Q=\frac{r}{-\sin(\theta )+1}$$

Atrast r

$$r=Q\left(-\sin(\theta )+1\right)$$