Determine the value of $cos( heta)$ and $sin( heta)$ for $ heta=frac{pi}{4}$ on the unit circle
Answer 1
Daniel Carter
To determine the values of $\cos(\theta)$ and $\sin(\theta)$ for $\theta=\frac{\pi}{4}$ on the unit circle, we use the known coordinates:
At $\theta=\frac{\pi}{4}$, both cosine and sine values are equal to:
$\cos\left(\frac{\pi}{4}\right) = \frac{\sqrt{2}}{2}$
$\sin\left(\frac{\pi}{4}\right) = \frac{\sqrt{2}}{2}$
Therefore, the values are:
$\cos\left(\frac{\pi}{4}\right) = \frac{\sqrt{2}}{2}, \sin\left(\frac{\pi}{4}\right) = \frac{\sqrt{2}}{2}$
Answer 2
Samuel Scott
For $ heta=frac{pi}{4}$ on the unit circle, both $cos( heta)$ and $sin( heta)$ have the same value:
$cosleft(frac{pi}{4}
ight) = frac{sqrt{2}}{2}$
$sinleft(frac{pi}{4}
ight) = frac{sqrt{2}}{2}$
Answer 3
Charlotte Davis
On the unit circle, for $ heta=frac{pi}{4}$:
$cosleft(frac{pi}{4}
ight) = frac{sqrt{2}}{2}$
$sinleft(frac{pi}{4}
ight) = frac{sqrt{2}}{2}$
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