Find the value of $ arcsin(frac{1}{2}) $ using the unit circle.
Answer 1
Isabella Walker
To find the value of $ \arcsin(\frac{1}{2}) $ using the unit circle, we need to determine the angle whose sine is $ \frac{1}{2} $.
On the unit circle, the sine of an angle is the y-coordinate of the corresponding point.
The angle that has a sine of $ \frac{1}{2} $ in the range $ -\frac{\pi}{2} $ to $ \frac{\pi}{2} $ is $ \frac{\pi}{6} $.
Therefore, the value of $ \arcsin(\frac{1}{2}) $ is:
$ \frac{\pi}{6} $
Answer 2
Thomas Walker
To find the value of $ arcsin(frac{1}{2}) $ using the unit circle, identify the angle whose sine is $ frac{1}{2} $.
In the interval $ -frac{pi}{2} $ to $ frac{pi}{2} $, this angle is $ frac{pi}{6} $.
Thus, $ arcsin(frac{1}{2}) $ is:
$ frac{pi}{6} $
Answer 3
Christopher Garcia
The value of $ arcsin(frac{1}{2}) $ using the unit circle is:
$ frac{pi}{6} $
Start Using PopAi Today