Determine the coordinates of a point on the unit circle where the angle $ heta $ equals $ frac{pi}{4} $
Answer 1
Maria Rodriguez
To determine the coordinates of a point on the unit circle where $ \theta $ equals $ \frac{\pi}{4} $, we use the unit circle equation:
$ x^2 + y^2 = 1 $
For $ \theta = \frac{\pi}{4} $, the coordinates are:
$ \left( \cos \frac{\pi}{4}, \sin \frac{\pi}{4} \right) $
The values are:
$ \left( \frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2} \right) $
Answer 2
Michael Moore
To determine the coordinates where $ heta $ equals $ frac{pi}{4} $, we use the unit circle:
$ x^2 + y^2 = 1 $
At $ heta = frac{pi}{4} $, the coordinates are:
$ left( cos frac{pi}{4}, sin frac{pi}{4}
ight) $
Which simplifies to:
$ left( frac{sqrt{2}}{2}, frac{sqrt{2}}{2}
ight) $
Answer 3
Charlotte Davis
For $ heta = frac{pi}{4} $ on the unit circle:
$ left( cos frac{pi}{4}, sin frac{pi}{4}
ight) $
Coordinates are:
$ left( frac{sqrt{2}}{2}, frac{sqrt{2}}{2}
ight) $
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