Whakaoti i te y=x+atanp

$$y = x + a \tan p$$

Whakaoti mō a

$$\left\{\begin{matrix}a=\left(y-x\right)\cot(p)\text{, }&\exists n_{3}\in \mathrm{Z}\text{ : }\left(p>\frac{\pi n_{3}}{2}\text{ and }p<\frac{\pi n_{3}}{2}+\frac{\pi }{2}\right)\\a\in \mathrm{R}\text{, }&y=x\text{ and }\exists n_{2}\in \mathrm{Z}\text{ : }p=\pi n_{2}\text{ and }\nexists n_{1}\in \mathrm{Z}\text{ : }p=\pi n_{1}+\frac{\pi }{2}\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$x+a\tan(p)=y$$

Tangohia te x mai i ngā taha e rua.

$$a\tan(p)=y-x$$

He hanga arowhānui tō te whārite.

$$\tan(p)a=y-x$$

Whakawehea ngā taha e rua ki te \tan(p).

$$\frac{\tan(p)a}{\tan(p)}=\frac{y-x}{\tan(p)}$$

Mā te whakawehe ki te \tan(p) ka wetekia te whakareanga ki te \tan(p).

$$a=\frac{y-x}{\tan(p)}$$

Whakawehe y-x ki te \tan(p).

$$a=\left(y-x\right)\cot(p)$$