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Find the coordinates of $ frac{3pi}{4} $ on the unit circle

Answer 1

Abigail Nelson

Thomas Walker

To find the coordinates of $ \frac{3\pi}{4} $ on the unit circle, we use the unit circle properties:

The x-coordinate is:

$ x = \cos\left( \frac{3\pi}{4} \right) = -\frac{\sqrt{2}}{2} $

The y-coordinate is:

$ y = \sin\left( \frac{3\pi}{4} \right) = \frac{\sqrt{2}}{2} $

So, the coordinates are $ \left( -\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2} \right) $

Answer 2

Alex Thompson

Samuel Scott

The coordinates of $ frac{3pi}{4} $ on the unit circle can be found using the unit circle properties:

For the x-coordinate:

$ x = cosleft( frac{3pi}{4}
ight) = -frac{sqrt{2}}{2} $

For the y-coordinate:

$ y = sinleft( frac{3pi}{4}
ight) = frac{sqrt{2}}{2} $

Therefore, the coordinates are $ left( -frac{sqrt{2}}{2}, frac{sqrt{2}}{2}
ight) $

Answer 3

Amelia Mitchell

John Anderson

Using the unit circle, the coordinates of $ frac{3pi}{4} $ are:

$ left( -frac{sqrt{2}}{2}, frac{sqrt{2}}{2}
ight) $