Question

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

Answer 1

Answer:

the answer is attached in the picture below

Answer 2

Answer:

$tan(\theta )=\sqrt{3}/3$

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 goies to point:

$(\frac{\sqrt{3} }{2},\frac{1}{2})$

Thus, the tangent is:

$tan(\theta )=y/x=(1/2)/(\sqrt{3}/2)=\sqrt{3}/3$