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Find the sine and cosine values for an angle of $ frac{π}{3} $ on the unit circle

Answer 1

Abigail Nelson

William King

To find the sine and cosine values for an angle of $ \frac{π}{3} $ on the unit circle, we need to recall the special angles on the unit circle.

For $ \frac{π}{3} $, the coordinates are (cos($ \frac{π}{3} $), sin($ \frac{π}{3} $)).

Using the unit circle,

$ \cos(\frac{π}{3}) = \frac{1}{2} $

$ \sin(\frac{π}{3}) = \frac{\sqrt{3}}{2} $

So, the sine and cosine values for $ \frac{π}{3} $ are:

$ \cos(\frac{π}{3}) = \frac{1}{2} $

$ \sin(\frac{π}{3}) = \frac{\sqrt{3}}{2} $

Answer 2

Alex Thompson

Michael Moore

To find the sine and cosine for an angle of $ frac{π}{3} $ on the unit circle:

The coordinates are (cos($ frac{π}{3} $), sin($ frac{π}{3} $)).

From the unit circle:

$ cos(frac{π}{3}) = frac{1}{2} $

$ sin(frac{π}{3}) = frac{sqrt{3}}{2} $

Answer 3

Amelia Mitchell

Amelia Mitchell

For angle $ frac{π}{3} $ on the unit circle:

$ cos(frac{π}{3}) = frac{1}{2} $

$ sin(frac{π}{3}) = frac{sqrt{3}}{2} $