Lutasin ang sin7pi/6

$$\sin \frac { 7 \pi } { 6 }$$

I-evaluate

$$-\frac{1}{2}=-0.5$$

Mga Hakbang ng Solution

Use \sin(x+y)=\sin(x)\cos(y)+\sin(y)\cos(x) where x=\pi and y=\frac{\pi }{6} to obtain the result.

$$\sin(\pi +\frac{\pi }{6})=\sin(\pi )\cos(\frac{\pi }{6})+\sin(\frac{\pi }{6})\cos(\pi )$$

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

$$0\cos(\frac{\pi }{6})+\sin(\frac{\pi }{6})\cos(\pi )$$

Get the value of \cos(\frac{\pi }{6}) from trigonometric values table.

$$0\times \frac{\sqrt{3}}{2}+\sin(\frac{\pi }{6})\cos(\pi )$$

Get the value of \sin(\frac{\pi }{6}) from trigonometric values table.

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

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

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

Magkalkula.

$$-\frac{1}{2}$$

I-factor

$$-\frac{1}{2} = -0.5$$