What is the $cos( heta)$ of an angle in the unit circle if the $sin( heta)$ is negative?
Answer 1
Thomas Walker
In the unit circle, if the $\sin(\theta)$ is negative, it means that the angle $\theta$ is in the third or fourth quadrant.
In both of these quadrants, the sine value is negative.
Cosine values in these quadrants can be positive (fourth quadrant) or negative (third quadrant).
Therefore, the $\cos(\theta)$ can be expressed as:
$\cos(\theta) = \pm\sqrt{1 – \sin^2(\theta)}$
Answer 2
James Taylor
In the unit circle, if $sin( heta)$ is negative, $ heta$ lies in the third or fourth quadrant.
The cosine of $ heta$ can be:
$cos( heta) = pmsqrt{1 – sin^2( heta)}$
Answer 3
Michael Moore
If $sin( heta)$ is negative:
$cos( heta) = pmsqrt{1 – sin^2( heta)}$
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