Atrisiniet r=2acosθ

$$r = 2 a \cos \theta$$

Atrast a

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

Lineāra vienādojuma risināšanas darbības

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

$$2a\cos(\theta )=r$$

Vienādojums ir standarta formā.

$$2\cos(\theta )a=r$$

Daliet abas puses ar 2\cos(\theta ).

$$\frac{2\cos(\theta )a}{2\cos(\theta )}=\frac{r}{2\cos(\theta )}$$

Dalīšana ar 2\cos(\theta ) atsauc reizināšanu ar 2\cos(\theta ).

$$a=\frac{r}{2\cos(\theta )}$$

Atrast r

$$r=2a\cos(\theta )$$