Find the coordinates on the unit circle for the angles
Answer 1
Lily Perez
Find the coordinates on the unit circle for the angle $ \theta = \frac{\pi}{4} $:
The coordinates are given by $ (\cos(\theta), \sin(\theta)) $.
For $ \theta = \frac{\pi}{4} $:
$ \cos\left(\frac{\pi}{4}\right) = \frac{\sqrt{2}}{2} $
$ \sin\left(\frac{\pi}{4}\right) = \frac{\sqrt{2}}{2} $
The coordinates are $ \left( \frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2} \right) $.
Answer 2
Charlotte Davis
Find the coordinates on the unit circle for the angle $ heta = frac{pi}{3} $:
The coordinates are $ (cos( heta), sin( heta)) $.
For $ heta = frac{pi}{3} $:
$ cosleft(frac{pi}{3}
ight) = frac{1}{2} $
$ sinleft(frac{pi}{3}
ight) = frac{sqrt{3}}{2} $
The coordinates are $ left( frac{1}{2}, frac{sqrt{3}}{2}
ight) $.
Answer 3
William King
Find the coordinates on the unit circle for the angle $ heta = frac{pi}{6} $:
The coordinates are $ (cos( heta), sin( heta)) $.
For $ heta = frac{pi}{6} $:
$ cosleft(frac{pi}{6}
ight) = frac{sqrt{3}}{2} $
$ sinleft(frac{pi}{6}
ight) = frac{1}{2} $
The coordinates are $ left( frac{sqrt{3}}{2}, frac{1}{2}
ight) $.
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