Find the values of $sin( heta)$ at specific angles on the unit circle

To find the values of $ \sin(\theta) $ at specific angles on the unit circle, we can use the known values for common angles:

At $ \theta = 0 $, $ \sin(0) = 0 $

At $ \theta = \frac{\pi}{2} $, $ \sin\left(\frac{\pi}{2}\right) = 1 $

At $ \theta = \pi $, $ \sin(\pi) = 0 $

At $ \theta = \frac{3\pi}{2} $, $ \sin\left(\frac{3\pi}{2}\right) = -1 $

At $ \theta = 2\pi $, $ \sin(2\pi) = 0 $

To determine $ sin( heta) $ at key angles on the unit circle:

$ sin(0) = 0 $

$ sinleft(frac{pi}{2}
ight) = 1 $

$ sin(pi) = 0 $

$ sinleft(frac{3pi}{2}
ight) = -1 $

$ sin(2pi) = 0 $

For $ sin( heta) $ at standard positions:

$ sin(0) = 0 $

$ sinleft(frac{pi}{2}
ight) = 1 $

$ sin(pi) = 0 $

$ sinleft(frac{3pi}{2}
ight) = -1 $

$ sin(2pi) = 0 $

Start Using PopAi Today