$ ext{Cosine Values on the Unit Circle}$
Answer 1
Olivia Lee
Consider the point $P(\frac{1}{2}, \frac{\sqrt{3}}{2})$ on the unit circle. Determine the cosine of the angle $\theta$ corresponding to this point.
Solution:
On the unit circle, the coordinates of a point $P(x, y)$ correspond to $(\cos \theta, \sin \theta)$. Given the coordinates $P(\frac{1}{2}, \frac{\sqrt{3}}{2})$, we can identify that $\cos \theta = \frac{1}{2}$.
Thus, the cosine of the angle $\theta$ is:
$\cos \theta = \frac{1}{2}$
Answer 2
Michael Moore
Consider a point $P(1, 0)$ on the unit circle. Find the cosine of the angle $ heta$ corresponding to this point.
Solution:
On the unit circle, the coordinates of a point $P(x, y)$ represent $(cos heta, sin heta)$. For the given point $P(1, 0)$, the coordinates give us $cos heta = 1$ and $sin heta = 0$.
Thus, the cosine of the angle $ heta$ is:
$cos heta = 1$
Answer 3
Christopher Garcia
Find the cosine of the angle $ heta$ if the point on the unit circle is $P(-1, 0)$.
Solution:
On the unit circle, the coordinates $(x, y)$ are $(cos heta, sin heta)$. Here, $x = -1$ and $y = 0$.
Thus:
$cos heta = -1$
Start Using PopAi Today