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

The video tutorial explains the relationship between the cosine of 60 degrees and the cosine of 30 degrees using cofunction identities. It introduces the concept of cofunction identities, which state that the sine of 90 degrees minus an angle is equal to the cosine of that angle, and vice versa. The tutorial demonstrates how these identities can be applied to determine that the cosine of 30 degrees is equal to the square root of 3 over 2, by showing that the sine of 60 degrees is equal to the cosine of 30 degrees.

Explain how cofunction identities are used to relate the sine and cosine functions.

What is the relationship between the sine of an angle and the cosine of its complement?

Why is it significant that 60 degrees and 30 degrees add up to 90 degrees in trigonometry?

How can you express the sine of 60 degrees in terms of the cosine of another angle?

What is the cosine of 30 degrees, and how is it derived from the sine of another angle?