Whakaoti i te (sinpi/6+cospi/3)^2+(sinpi/3+cospi/6)^2

$$( \sin \frac { \pi } { 6 } + \cos \frac { \pi } { 3 } ) ^ { 2 } + ( \sin \frac { \pi } { 3 } + \cos \frac { \pi } { 6 } ) ^ { 2 }$$

Aromātai

$$4$$

Ngā Upane Otinga

Tīkina te uara \sin(\frac{\pi }{6}) mai i te ripanga uara pākoki.

$$\left(\frac{1}{2}+\cos(\frac{\pi }{3})\right)^{2}+\left(\sin(\frac{\pi }{3})+\cos(\frac{\pi }{6})\right)^{2}$$

Tīkina te uara \cos(\frac{\pi }{3}) mai i te ripanga uara pākoki.

$$\left(\frac{1}{2}+\frac{1}{2}\right)^{2}+\left(\sin(\frac{\pi }{3})+\cos(\frac{\pi }{6})\right)^{2}$$

Tāpirihia te \frac{1}{2} ki te \frac{1}{2}, ka 1.

$$1^{2}+\left(\sin(\frac{\pi }{3})+\cos(\frac{\pi }{6})\right)^{2}$$

Tātaihia te 1 mā te pū o 2, kia riro ko 1.

$$1+\left(\sin(\frac{\pi }{3})+\cos(\frac{\pi }{6})\right)^{2}$$

Tīkina te uara \sin(\frac{\pi }{3}) mai i te ripanga uara pākoki.

$$1+\left(\frac{\sqrt{3}}{2}+\cos(\frac{\pi }{6})\right)^{2}$$

Tīkina te uara \cos(\frac{\pi }{6}) mai i te ripanga uara pākoki.

$$1+\left(\frac{\sqrt{3}}{2}+\frac{\sqrt{3}}{2}\right)^{2}$$

Pahekotia te \frac{\sqrt{3}}{2} me \frac{\sqrt{3}}{2}, ka \sqrt{3}.

$$1+\left(\sqrt{3}\right)^{2}$$

Ko te pūrua o \sqrt{3} ko 3.

$$1+3$$

Tāpirihia te 1 ki te 3, ka 4.

$$4$$

Tauwehe

$$2^{2}$$