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Find the cosine and sine of $frac{pi}{10}$ on the unit circle

Answer 1

Abigail Nelson

James Taylor

To find the cosine and sine of $ \frac{\pi}{10} $ on the unit circle, we use the following steps.

Since $ \frac{\pi}{10} $ is an angle in radians, we can find its coordinates on the unit circle. The coordinates of an angle $ \theta $ on the unit circle are given by $ (\cos(\theta), \sin(\theta)) $.

Therefore, for $ \theta = \frac{\pi}{10} $:

$ \cos(\frac{\pi}{10}) $ $ \cos(\frac{\pi}{10}) \approx 0.9511 $

$ \sin(\frac{\pi}{10}) $ $ \sin(\frac{\pi}{10}) \approx 0.3090 $

Thus, the cosine and sine of $ \frac{\pi}{10} $ on the unit circle are approximately $ 0.9511 $ and $ 0.3090 $, respectively.

Answer 2

Alex Thompson

Ava Martin

To determine $ cos(frac{pi}{10}) $ and $ sin(frac{pi}{10}) $ on the unit circle, we can use the following approach:

The coordinates for any angle $ heta $ on the unit circle are $ (cos( heta), sin( heta)) $.

For $ heta = frac{pi}{10} $, we calculate:

$ cos(frac{pi}{10}) approx 0.9511 $

$ sin(frac{pi}{10}) approx 0.3090 $

Hence, the cosine and sine for $ frac{pi}{10} $ on the unit circle are $ 0.9511 $ and $ 0.3090 $, respectively.

Answer 3

Amelia Mitchell

Joseph Robinson

For $ heta = frac{pi}{10} $ on the unit circle:

$ cos(frac{pi}{10}) approx 0.9511 $

$ sin(frac{pi}{10}) approx 0.3090 $