Find the values of $sin( heta)$ and $cos( heta)$ where $ heta$ is $frac{5pi}{4}$ radians on the unit circle
Answer 1
Maria Rodriguez
Given $\theta = \frac{5\pi}{4}$, we need to find the values of $\sin(\theta)$ and $\cos(\theta)$ on the unit circle.
The angle $\frac{5\pi}{4}$ is in the third quadrant where both sine and cosine are negative.
In the third quadrant, for an angle of $\frac{5\pi}{4}$,
$\sin\left(\frac{5\pi}{4}\right) = -\frac{\sqrt{2}}{2}$
$\cos\left(\frac{5\pi}{4}\right) = -\frac{\sqrt{2}}{2}$
Answer 2
Michael Moore
The angle $frac{5pi}{4}$ is in the third quadrant where both sine and cosine are negative.
Therefore,
$sinleft(frac{5pi}{4}
ight) = -frac{sqrt{2}}{2}$
$cosleft(frac{5pi}{4}
ight) = -frac{sqrt{2}}{2}$
Answer 3
Amelia Mitchell
The angle $frac{5pi}{4}$ is in the third quadrant.
$sinleft(frac{5pi}{4}
ight) = -frac{sqrt{2}}{2}$
$cosleft(frac{5pi}{4}
ight) = -frac{sqrt{2}}{2}$
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