find tan 0 in this unit circle. (hint: the circle has a marking, (1/2,√3/2).
To find the value of tan 0, we can use the coordinates of the point on the unit circle as a reference. In this case, the point (1/2, √3/2) is located in the first quadrant.
The x-coordinate of this point is 1/2, and the y-coordinate is √3/2.
Since tan θ is equal to the ratio of the y-coordinate to the x-coordinate, we have:
tan θ = (√3/2) / (1/2)
Simplifying this expression:
tan θ = (√3/2) * (2/1)
tan θ = √3
Therefore, the value of tan 0 on this unit circle is √3.