SOLUTION: the exact value of cos(-330 degrees) is?

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Question 323916: the exact value of cos(-330 degrees) is?
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
the exact value of cos(-330 degrees) is?

We start off with x and y axes:



Then we start our angle from the right side of the x-axis, and

since the angle is negative, we swing an arc in the clockwise
direction through 330° and draw a radius vector:



And we see that the angle is coterminal with 30°, since one
revolution is 360° and 330° subtracted from 360° is 30°,
and so the reference angle is 30°, 






and since -330° has its
terminal side in the first quadrant, its cosine will be the
same as the cosine of 30° and positive. so:

cos%28%22-330%B0%22%29%22%22=%22%22%22%22%2Bcos%28%2230%B0%22%29%22%22=%22%22sqrt%283%29%2F2

Edwin