Find the Values of Theta in Degrees and Radians in First Quadrant

The video tutorial explains how to find the angle where the tangent is equal to sqrt 3 using the unit circle. It begins by discussing the tangent function and its relation to the unit circle, then demonstrates how to calculate tangent values using Y and X coordinates. The tutorial identifies the correct angle as 60 degrees or π/3 radians by evaluating different coordinate possibilities. It concludes by confirming the correct answer and explaining why other options are incorrect.

What is the relationship between the tangent of an angle and the coordinates on the unit circle?

• Tangent is the ratio of the Y coordinate to the X coordinate.

• Tangent is the product of the X and Y coordinates.

• Tangent is the difference between the X and Y coordinates.

• Tangent is the sum of the X and Y coordinates.

Which coordinate pair on the unit circle results in a tangent of $\sqrt{3}$?

• (0, 1)

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

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

• (1, $\sqrt{3}$)