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

The video tutorial explains how to find the cotangent of an angle given its tangent. It starts by introducing the problem and recalling that tangent and cotangent are reciprocals. Using a right triangle, the video illustrates the relationship between tangent and cotangent. Finally, it demonstrates how to simplify the expression by rationalizing the denominator, resulting in the final answer of sqrt 6 / 12.

What is the relationship between tangent and cotangent?

• They are both less than 1.

• They are both greater than 1.

• They are reciprocals.

• They are equal.

In a right triangle, what does the tangent of an angle represent?

• Opposite over adjacent

• Hypotenuse over opposite

• Adjacent over opposite

• Adjacent over hypotenuse

How is cotangent defined in terms of a right triangle?

• Hypotenuse over adjacent

• Hypotenuse over opposite

• Adjacent over opposite

• Opposite over adjacent

What is the first step in finding the cotangent if the tangent is given?

• Multiply by the hypotenuse

• Take the reciprocal of the tangent

• Subtract the tangent from 1

• Add the tangent to itself

What is the final simplified form of the cotangent in this problem?

• 2 / sqrt 3

• 1 / sqrt 6

• sqrt 3 / 6

• sqrt 6 / 12