Finding the composition of inverses when not in the range

The video tutorial explains how to find the cosine of 7π/2 by using the unit circle and identifying the x-coordinate. It then discusses finding the inverse cosine of 0 and highlights the importance of considering the range of the cosine function. The tutorial concludes by identifying the correct angle within the range where cosine equals zero.

What is the first step in solving the problem of finding the cosine of 7π/2?

• Find the tangent of 7π/2

• Calculate the sine of 7π/2

• Graph the angle on the unit circle

• Directly compute the inverse cosine

What is the cosine value at the angle 7π/2?

• 0

• 1

• -1

• Undefined

Why can't the angle 7π/2 be used directly when finding the inverse cosine?

• It is not on the unit circle

• It is not a valid angle

• It is outside the range for inverse cosine

• It results in a negative value

What is the range of angles for the inverse cosine function?

• -π to π

• 0 to 2π

• -π/2 to π/2

• 0 to π

Which angle between 0 and π has a cosine value of zero?

• 3π/4

• π/4

• π/2

• π