Find the point on the unit circle where the sine value is negative and the cosine value is positive
Answer 1
The unit circle is defined as the set of all points $(x, y)$ such that:
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$ x^2 + y^2 = 1 $
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In the unit circle, the sine value corresponds to the y-coordinate and the cosine value corresponds to the x-coordinate. We need to find a point where:
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$ y < 0 $
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$ x > 0 $
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One such point is:
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$ \left( \frac{\sqrt{2}}{2}, -\frac{\sqrt{2}}{2} \right) $
Answer 2
In the unit circle, the x-coordinate represents the cosine value and the y-coordinate represents the sine value. To find a point where:
$ y < 0 ext{ and } x > 0 $
we can use the point:
$ left( frac{sqrt{2}}{2}, -frac{sqrt{2}}{2}
ight) $
Answer 3
A point on the unit circle with:
$ y < 0 ext{ and } x > 0 $
is:
$ left( frac{sqrt{2}}{2}, -frac{sqrt{2}}{2}
ight) $
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