Whakaoti i te 12x-pi/6=pi/2+2kpi

$$\frac{ 12x- \pi }{ 6 } = \frac{ \pi }{ 2 } +2k \pi$$

Whakaoti mō k

$$k=\frac{x}{\pi }-\frac{1}{3}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 6, arā, te tauraro pātahi he tino iti rawa te kitea o 6,2.

$$12x-\pi =3\pi +12k\pi$$

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

$$3\pi +12k\pi =12x-\pi$$

Tangohia te 3\pi mai i ngā taha e rua.

$$12k\pi =12x-\pi -3\pi$$

Pahekotia te -\pi me -3\pi , ka -4\pi .

$$12k\pi =12x-4\pi$$

He hanga arowhānui tō te whārite.

$$12\pi k=12x-4\pi$$

Whakawehea ngā taha e rua ki te 12\pi .

$$\frac{12\pi k}{12\pi }=\frac{12x-4\pi }{12\pi }$$

Mā te whakawehe ki te 12\pi ka wetekia te whakareanga ki te 12\pi .

$$k=\frac{12x-4\pi }{12\pi }$$

Whakawehe 12x-4\pi ki te 12\pi .

$$k=\frac{x}{\pi }-\frac{1}{3}$$

Whakaoti mō x

$$x=\pi k+\frac{\pi }{3}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 6, arā, te tauraro pātahi he tino iti rawa te kitea o 6,2.

$$12x-\pi =3\pi +12k\pi$$

Me tāpiri te \pi ki ngā taha e rua.

$$12x=3\pi +12k\pi +\pi$$

Pahekotia te 3\pi me \pi , ka 4\pi .

$$12x=4\pi +12k\pi$$

He hanga arowhānui tō te whārite.

$$12x=12\pi k+4\pi$$

Whakawehea ngā taha e rua ki te 12.

$$\frac{12x}{12}=\frac{12\pi k+4\pi }{12}$$

Mā te whakawehe ki te 12 ka wetekia te whakareanga ki te 12.

$$x=\frac{12\pi k+4\pi }{12}$$

Whakawehe 4\pi +12\pi k ki te 12.

$$x=\pi k+\frac{\pi }{3}$$