Question

What is the value of tangent theta in the unit circle below?

A unit circle is shown. A radius with length 1 forms angle theta in the first quadrant. The radius goes to points (StartFraction StartRoot 3 EndRoot Over 2 EndFraction , one-half) on the unit circle.
One-half
StartFraction StartRoot 3 EndRoot Over 3 EndFraction
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
StartRoot 3 EndRoot

Answer 1

so then A edge 23'

Step-by-step explanation:

Answer 2

`tan`(θ)
`=(√(3) )/(3)`

Step-by-step explanation:

Tangent trigonometric ratio is defined as the quotient of the opposite leg divided by the adjacent leg of an angle in a right triangle.

In a unit circle, the length of the opposite leg is the y-coordinate and the length of the adjacent leg is the x-coordinate.

As per the description the radius goes to point:

`((√(3) )/(2) ,(1)/(2))`

Thus, the tangent is:

`tan`(θ)
`=y/x=((1)/(2) )/((√(3) )/(2)) =(√(3) )/(3)`