Find the value of $cos( heta)$ and $sin( heta)$ when $ heta$ is an angle on the unit circle
Answer 1
Samuel Scott
To find the values of $\cos(\theta)$ and $\sin(\theta)$ when $\theta$ is an angle on the unit circle, we use the coordinates of the corresponding point on the unit circle.
\n
For example, if $\theta = \frac{5\pi}{6}$, then the point on the unit circle is $(-\frac{\sqrt{3}}{2}, \frac{1}{2})$.
\n
Therefore:
\n
$\cos\left(\frac{5\pi}{6}\right) = -\frac{\sqrt{3}}{2}$
\n
$\sin\left(\frac{5\pi}{6}\right) = \frac{1}{2}$
Answer 2
Henry Green
To find the values of $cos( heta)$ and $sin( heta)$ for an angle $ heta$ on the unit circle, determine the coordinates of the point that corresponds to $ heta$.
For instance, if $ heta = frac{3pi}{4}$, the coordinates on the unit circle are $(-frac{sqrt{2}}{2}, frac{sqrt{2}}{2})$.
Thus:
$cosleft(frac{3pi}{4}
ight) = -frac{sqrt{2}}{2}$
$sinleft(frac{3pi}{4}
ight) = frac{sqrt{2}}{2}$
Answer 3
Sophia Williams
For an angle $ heta$ on the unit circle, the values of $cos( heta)$ and $sin( heta)$ are given by the coordinates of the point.
Example: if $ heta = frac{2pi}{3}$:
$cosleft(frac{2pi}{3}
ight) = -frac{1}{2}$
$sinleft(frac{2pi}{3}
ight) = frac{sqrt{3}}{2}$
Start Using PopAi Today