Find the cosine value of the angle formed by a point on the unit circle
Answer 1
John Anderson
To find the cosine value of the angle formed by a point on the unit circle in the complex plane, consider a point $ z = e^{i\theta} $, where $ \theta $ is the angle in radians.
The cosine value of the angle $ \theta $ is the real part of $ z $, which is $ \cos(\theta) $.
Therefore:
$ \text{Re}(e^{i\theta}) = \cos(\theta) $
Answer 2
Ava Martin
To determine the cosine value of the angle $ heta $ formed by a point on the unit circle represented by $ z = e^{i heta} $, note that:
$ z = cos( heta) + isin( heta) $
The cosine value is the real part:
$ cos( heta) $
Answer 3
Emma Johnson
The cosine value of the angle $ heta $ formed by a point $ z = e^{i heta} $ on the unit circle is:
$ cos( heta) $
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