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What is the value of $cos(-frac{pi}{3})$ using the unit circle?

Answer 1

Abigail Nelson

Abigail Nelson

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

Alex Thompson

Ava Martin

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

Amelia Mitchell

Alex Thompson

Using the fact that cosine is an even function:

$cos(-x) = cos(x)$

Thus:

$cos(-frac{pi}{3}) = cos(frac{pi}{3}) = frac{1}{2}$