Question

Find the cosine and sine of 210. Round your answers to the nearest hundredth if necessary

Answer 1

The cosine is -0.88
This is rounded from -0.88387747318

The sine is .48.
This is rounded from 0.46771851834

Answer 2

Answer:

$sin 210^{\circ}=-0.5$

$cos 210^{\circ}=-0.87$

Step-by-step explanation:

We are given that

$sin210^{\circ}$ and $cosin 210^{\circ}$

We have to find the value of cosine and sine 210 degrees.

$sin 210^{\circ}= sin (\pi+30)= - sin 30^{\circ}$   ($\pi=180^{\circ}, sin(\pi+\theta)=-sin\theta)$

$sin 210^{\circ}=-\frac{1}{2}=-0.5$   ..... ($sin 30^{\circ}=\frac{1}{2}$)

$cos 210^{\circ}=cos (\pi+30)$

$cos 210^{\circ}=-cos 30^{\circ}=-\frac{\sqrt3}{2}$

$cos 210^{\circ}=-0.87$

 $cos (\pi+\theta)=-cos\theta$, $cos30^{\circ}=\frac{\sqrt3}{2}$)

Hence, the value of

$sin 210^{\circ}=-0.5$

$cos 210^{\circ}=-0.87$