Find the sine of the angle $ heta$ if $ heta$ is $frac{pi}{6}$ radians on the unit circle.
Answer 1
Chloe Evans
To find the sine of the angle $\theta$ when $\theta = \frac{\pi}{6}$ radians:
Step 1: Locate $\frac{\pi}{6}$ on the unit circle. The angle $\frac{\pi}{6}$ is 30 degrees.
Step 2: Use the definition of sine on the unit circle, which is the y-coordinate of the point where the terminal side of the angle intersects the unit circle.
Step 3: For $\theta = \frac{\pi}{6}$, the coordinates on the unit circle are $(\frac{\sqrt{3}}{2}, \frac{1}{2})$.
Therefore, $\sin(\frac{\pi}{6}) = \frac{1}{2}$.
Answer 2
Ella Lewis
To find $sin(frac{pi}{6})$:
Step 1: Convert $frac{pi}{6}$ radians to degrees, which is $30^{circ}$.
Step 2: Recall that on the unit circle, the coordinates corresponding to $30^{circ}$ are $(frac{sqrt{3}}{2}, frac{1}{2})$.
Step 3: The sine of an angle is the y-coordinate of the corresponding point on the unit circle.
So, $sin(frac{pi}{6}) = frac{1}{2}$.
Answer 3
Lily Perez
Find the sine of $ heta = frac{pi}{6}$:
The point on the unit circle at $frac{pi}{6}$ radians is $(frac{sqrt{3}}{2}, frac{1}{2})$.
Therefore, $sin(frac{pi}{6}) = frac{1}{2}$.
Start Using PopAi Today