Find the sine of a negative angle on the unit circle
Answer 1
Emma Johnson
On the unit circle, the sine of a negative angle $ \theta $ is given by:
$ \sin(-\theta) = -\sin(\theta) $
For example, if $ \theta = 30^{\circ} $, then:
$ \sin(-30^{\circ}) = -\sin(30^{\circ}) = -\frac{1}{2} $
Answer 2
James Taylor
On the unit circle, the sine of a negative angle $ heta $ is:
$ sin(- heta) = -sin( heta) $
For example, with $ heta = 45^{circ} $:
$ sin(-45^{circ}) = -sin(45^{circ}) = -frac{sqrt{2}}{2} $
Answer 3
Sophia Williams
For any angle $ heta $ on the unit circle:
$ sin(- heta) = -sin( heta) $
Example: $ heta = 60^{circ} $:
$ sin(-60^{circ}) = -sin(60^{circ}) = -frac{sqrt{3}}{2} $
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