Question

Suppose that P is the point on the unit circle obtained by rotating the initial ray counterclockwise through 330 degrees. Find the measure of the reference angle for 330°, and then find sin(330°) and cos(330°).

Answer 1

Answer:

Reference angle will be 30°

sin(330°) will be equal to $\frac{-1}{2}$

cos(330°) will be equal to 0.866

Step-by-step explanation:

We have given angle is 330°

As the angle $330^{\circ}$ is in forth quadrant

We know that in forth quadrant the reference angle is given by

Reference angle $=360-angle$

As the angle is 330°

So the reference angle will be $=360-330=30^{\circ}$

Now we have to find the value of

sin(330°) $=sin(2\pi -30)=-sin(30)=\frac{-1}{2}$

And now $cos(330^{\circ})=cos(2\pi -30)=cos30=0.866$