What is the value of $cos(-frac{pi}{3})$ using the unit circle?
Answer 1
To find the value of $\cos(-\frac{\pi}{3})$ using the unit circle, first recognize that the cosine function is an even function. This means that:
$\cos(-x) = \cos(x)$
Therefore:
$\cos(-\frac{\pi}{3}) = \cos(\frac{\pi}{3})$
From the unit circle, we know that:
$\cos(\frac{\pi}{3}) = \frac{1}{2}$
Thus:
$\cos(-\frac{\pi}{3}) = \frac{1}{2}$
Answer 2
To find the value of $cos(-frac{pi}{3})$, remember that the cosine function is even:
$cos(-x) = cos(x)$
So:
$cos(-frac{pi}{3}) = cos(frac{pi}{3})$
From the unit circle:
$cos(frac{pi}{3}) = frac{1}{2}$
Therefore:
$cos(-frac{pi}{3}) = frac{1}{2}$
Answer 3
Using the fact that cosine is an even function:
$cos(-x) = cos(x)$
Thus:
$cos(-frac{pi}{3}) = cos(frac{pi}{3}) = frac{1}{2}$
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