Question

Using the half-angle formula, what is $\cos\left(-\frac{\pi}{12}\right)$?

          Using the half-angle formula, what is $\cos\left(-\frac{\pi}{12}\right)$?
        
Using the half-angle formula, what is cos(-(π)/(12))?

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Precalculus with Limits
Precalculus with Limits
Ron Larson 2nd Edition
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Using the half-angle formula, what is cos(-(pi )/(12))? Using the half-angle formula, what is cos-?
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Transcript

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00:01 So here's another half angle formula.
00:03 So let me write down the formula plus or minus a square root of 1 plus cosine of theta all over 2.
00:13 So if you didn't know as a half angle formula, it's because a cosine of pi over 12 is not on the unit circle.
00:21 But you can rewrite this as cosine of pi over 6 divided by 2.
00:27 Because if you divide by a whole number, you stick that into the denominator 6 times 2 is 12.
00:31 Or you can just believe me.
00:34 So in our formula, where you have a theta, you're going to put pi over six, which we do know on the unit circle.
00:44 Pye over six on the unit circle is right here.
00:48 That's the ordered pair root 3 over 2, one half...
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