How to use period as an aide to evaluate for the tangent function of an angle

The video tutorial explains how to calculate the tangent of angles using the unit circle. It begins with rewriting tangent expressions and understanding the position of 4π/3 on the unit circle. The tutorial then explores the relationship between coordinate points and their reflections across axes. Finally, it demonstrates how to simplify tangent calculations using these coordinates.

What is the equivalent angle of 6π/3 in terms of π?

• 3π

• 4π

• 2π

• 5π

Where is the angle 4π/3 located on the unit circle?

• Second quadrant

• First quadrant

• Third quadrant

• Fourth quadrant

What is the reference angle for 4π/3?

• π/3

• π/4

• π/6

• π/2

How are the points at 4π/3 and its reflection related on the unit circle?

• They are reflections over the Y-axis

• They are identical

• They are reflections over both the X and Y axes

• They are reflections over the X-axis

What is the simplified value of tangent at 4π/3?

• -√3

• √3

• 1

• -1