How to use the unit circle to evaluate for cotangent when undefined

The video tutorial covers the concept of periods in trigonometric functions, specifically sine and cosine, using the unit circle. It explains coterminal angles, which share the same initial and terminal sides, and how they relate to periods. The tutorial also discusses the cotangent function, highlighting how certain values can be undefined due to division by zero.

What is the period of sine and cosine functions?

• 180 degrees

• 360 degrees

• 2π

• π

What are coterminal angles?

• Angles that have different initial sides

• Angles that are always 90 degrees apart

• Angles that have the same initial and terminal sides

• Angles that are always 180 degrees apart

How can angles greater than 360 degrees be expressed?

• As a product of periods

• As a single period

• As a sum of periods

• As a difference of periods

What is the cotangent of -720 degrees equivalent to?

• Cotangent of 90 degrees

• Cotangent of 180 degrees

• Cotangent of 0 degrees

• Cotangent of 360 degrees

Why is the cotangent of 0 degrees undefined?

• Because it is equal to 0

• Because it is equal to infinity

• Because it is equal to 1

• Because it involves division by zero