Find the exact values of the $cos$ and $sin$ for three points on the unit circle.

Answer 1

Given points on the unit circle: $\frac{\pi}{6}, \frac{5\pi}{4}, \frac{11\pi}{6}$, find the exact values of $\cos$ and $\sin$.

Answer 2

For $ heta = frac{pi}{6}$:

$ cos left(frac{pi}{6}
ight) = frac{sqrt{3}}{2} $

$ sin left(frac{pi}{6}
ight) = frac{1}{2} $

For $ heta = frac{5pi}{4}$:

$ cos left(frac{5pi}{4}
ight) = -frac{sqrt{2}}{2} $

$ sin left(frac{5pi}{4}
ight) = -frac{sqrt{2}}{2} $

For $ heta = frac{11pi}{6}$:

$ cos left(frac{11pi}{6}
ight) = frac{sqrt{3}}{2} $

$ sin left(frac{11pi}{6}
ight) = -frac{1}{2} $

Answer 3

Find the exact values of $cos$ and $sin$ for $ heta = frac{pi}{6}$, $frac{5pi}{4}$, $frac{11pi}{6}$.

$ cos left(frac{pi}{6}
ight) = frac{sqrt{3}}{2}, sin left(frac{pi}{6}
ight) = frac{1}{2} $

$ cos left(frac{5pi}{4}
ight) = -frac{sqrt{2}}{2}, sin left(frac{5pi}{4}
ight) = -frac{sqrt{2}}{2} $

$ cos left(frac{11pi}{6}
ight) = frac{sqrt{3}}{2}, sin left(frac{11pi}{6}
ight) = -frac{1}{2} $