Resol sin(240^circ)

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

Calcula

$$-\frac{\sqrt{3}}{2}\approx -0,866025404$$

Passos de solució

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.

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

Feu els càlculs.

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