다음을 풀어보세요: sin(240^circ)

$$\sin ( 240 ^ { \circ } )$$

계산

$$-\frac{\sqrt{3}}{2}\approx -0.866025404$$

해답 단계

Use \sin(x+y)=\sin(x)\cos(y)+\sin(y)\cos(x) where x=180 and y=60 to obtain the result.

$$\sin(180+60)=\sin(180)\cos(60)+\sin(60)\cos(180)$$

Get the value of \sin(180) from trigonometric values table.

$$0\cos(60)+\sin(60)\cos(180)$$

Get the value of \cos(60) from trigonometric values table.

$$0\times \frac{1}{2}+\sin(60)\cos(180)$$

Get the value of \sin(60) from trigonometric values table.

$$0\times \frac{1}{2}+\frac{\sqrt{3}}{2}\cos(180)$$

Get the value of \cos(180) from trigonometric values table.

$$0\times \frac{1}{2}+\frac{\sqrt{3}}{2}\left(-1\right)$$

계산을 합니다.

$$-\frac{\sqrt{3}}{2}$$