Whakaoti i te r=Q(1-sinθ)

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

Whakaoti mō Q

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

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

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

Whakamahia te āhuatanga tohatoha hei whakarea te Q ki te 1-\sin(\theta ).

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

Pahekotia ngā kīanga tau katoa e whai ana i te Q.

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

He hanga arowhānui tō te whārite.

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

Whakawehea ngā taha e rua ki te 1-\sin(\theta ).

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

Mā te whakawehe ki te 1-\sin(\theta ) ka wetekia te whakareanga ki te 1-\sin(\theta ).

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

Whakaoti mō r

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