What is the value of tan 0 in the unit circle below?
![What is the value of tan 0 in the unit circle below class=](https://us-static.z-dn.net/files/dbd/399b8b68c94dbde8e4600e0d35c06418.png)
Answer:
1 / sqrt(3)
Step-by-step explanation:
tan(o) = sin(o) / cos(o)
sin(o) is the vertical distance from the x-axis. and that is in this basic circle the y-coordinate of the point.
cos(o) is the horizontal distance from the y-axis. that is the x-coordinate of the point.
so,
tan(o) = (1/2) / (sqrt(3)/2) = (2×1) / (2×sqrt(3)) = 1/sqrt(3)