Whakaoti i te sin(5/2pi0.5+pi/2)

$$\sin ( \frac{ 5 }{ 2 } \pi 0.5+ \frac{ \pi }{ 2 } )$$

Aromātai

$$-\frac{\sqrt{2}}{2}\approx -0.707106781$$

Ngā Upane Otinga

Whakareatia te \frac{5}{2} ki te 0.5, ka \frac{5}{4}.

$$\sin(\frac{5}{4}\pi +\frac{\pi }{2})$$

Pahekotia te \frac{5}{4}\pi me \frac{\pi }{2}, ka \frac{7}{4}\pi .

$$\sin(\frac{7}{4}\pi )$$

Whakamahia \sin(x+y)=\sin(x)\cos(y)+\sin(y)\cos(x) ina x=\frac{3\pi }{2} me te y=\frac{\pi }{4} kia whiwhi i te hua.

$$\sin(\frac{3\pi }{2}+\frac{\pi }{4})=\sin(\frac{3\pi }{2})\cos(\frac{\pi }{4})+\sin(\frac{\pi }{4})\cos(\frac{3\pi }{2})$$

Tīkina te uara \sin(\frac{3\pi }{2}) mai i te ripanga uara pākoki.

$$-\cos(\frac{\pi }{4})+\sin(\frac{\pi }{4})\cos(\frac{3\pi }{2})$$

Tīkina te uara \cos(\frac{\pi }{4}) mai i te ripanga uara pākoki.

$$-\frac{\sqrt{2}}{2}+\sin(\frac{\pi }{4})\cos(\frac{3\pi }{2})$$

Tīkina te uara \sin(\frac{\pi }{4}) mai i te ripanga uara pākoki.

$$-\frac{\sqrt{2}}{2}+\frac{\sqrt{2}}{2}\cos(\frac{3\pi }{2})$$

Tīkina te uara \cos(\frac{3\pi }{2}) mai i te ripanga uara pākoki.

$$-\frac{\sqrt{2}}{2}+\frac{\sqrt{2}}{2}\times 0$$

Mahia ngā tātaitai.

$$-\frac{\sqrt{2}}{2}$$