Use cofunction identities and trig identities to find the indicated trig functions

The video tutorial explains the concept of trigonometric functions, focusing on the relationship between tangent and cotangent as reciprocals. It begins with an introduction to the cotangent of 30 degrees and explains how tangent is the ratio of the opposite side to the hypotenuse. The tutorial then demonstrates how to calculate the cotangent of 30 degrees and rationalize the denominator to avoid radicals in the denominator. The explanation is clear and concise, providing a step-by-step approach to understanding these trigonometric concepts.

What is the relationship between tangent and cotangent?

• They are both zero.

• They are equal.

• They are reciprocals.

• They are both undefined.

How is the cotangent of an angle expressed in terms of tangent?

• Cotangent is the square of tangent.

• Cotangent is tangent minus 1.

• Cotangent is the sum of tangent and 1.

• Cotangent is 1 divided by tangent.

What is the cotangent of 30 degrees before rationalizing the denominator?

• 2 over radical 3

• Radical 3 over 3

• Radical 3 over 2

• 1 over radical 3

Why do we rationalize the denominator when calculating cotangent?

• To decrease the value of the cotangent.

• To increase the value of the cotangent.

• To avoid having a radical in the denominator.

• To make the calculation easier.

What is the final expression for the cotangent of 30 degrees after rationalizing the denominator?

• Radical 3 over 2

• 2 times radical 3 over 3

• Radical 3 over 3

• 3 over 2 times radical 3