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

The video tutorial explains how to determine the cotangent of 60 degrees using cofunction identities. It begins with a problem involving the tangent of 30 degrees and introduces the concept of cofunction identities. The tutorial uses the unit circle to illustrate the relationship between sine and cosine, and applies these identities to solve the problem, showing that the tangent of 30 degrees is equivalent to the cotangent of 60 degrees. The video concludes by reinforcing the equivalence of these angles.

What is the relationship between the sine of 30 degrees and another trigonometric function on the unit circle?

• It is equal to the secant of 60 degrees.

• It is equal to the cotangent of 60 degrees.

• It is equal to the tangent of 60 degrees.

• It is equal to the cosine of 60 degrees.

Which identity states that the cotangent of an angle is equal to the tangent of its complementary angle?

• Reciprocal identity

• Quotient identity

• Cofunction identity

• Pythagorean identity

If the tangent of an angle is known, how can you find the cotangent of its complementary angle?

• By using the reciprocal identity

• By using the Pythagorean identity

• By using the angle sum identity

• By using the cofunction identity

What is the cotangent of 60 degrees if the tangent of 30 degrees is known?

• It is equal to the tangent of 30 degrees.

• It is equal to the sine of 30 degrees.

• It is equal to the cosine of 30 degrees.

• It is equal to the secant of 30 degrees.

How do cofunction identities help in solving trigonometric problems?

• They relate angles to their half angles.

• They relate angles to their double angles.

• They relate angles to their complementary angles.

• They relate angles to their supplementary angles.