Given the following unit circle, rotate green dot to the appropriate angle and then find the exact value of the function.
cosine, 330, degrees
cos330
∘
To find the exact value of cos(330°), we need to rotate the green dot on the unit circle to the angle of 330°.
To do this, we can start at the 0° angle (located on the right side of the unit circle), and rotate counterclockwise by 330°.
After rotating, we can see that the green dot will be in the third quadrant, which corresponds to the angle 330° on the unit circle.
The coordinates of the green dot in the third quadrant are (-√3/2, -1/2).
Since cosine is the x-coordinate of a point on the unit circle, the cosine of 330° is -√3/2.
Therefore, cos(330°) = -√3/2.