Exam Review Evaluate the cosine inverse

The video tutorial explains how to find when the cosine is equal to negative sqrt 3/2 using the unit circle. It identifies the relevant points on the circle and discusses the restrictions of the cosine inverse function, focusing on the first and second quadrants. The tutorial concludes by determining that the only valid angle is 5π/6.

What is the primary focus of the cosine inverse function?

• Finding angles where sine equals a specific value

• Determining when cosine equals a specific value

• Calculating the tangent of an angle

• Identifying angles where secant equals a specific value

On the unit circle, where is cosine equal to negative square root of 3 over 2?

• π/4 and 3π/4

• 5π/6 and 7π/6

• π/6 and 5π/6

• π/3 and 2π/3

Which angle corresponds to cosine being negative square root of 3 over 2?

• π/3

• 5π/6

• 7π/6

• π/2

What is the range restriction for the inverse cosine function?

• Between the 3rd and 4th quadrants

• Between the 2nd and 4th quadrants

• Between the 1st and 3rd quadrants

• Between the 1st and 2nd quadrants

Why can't both angles be solutions for the inverse cosine function?

• Due to the periodic nature of cosine

• Because cosine is not defined for negative values

• Because only one angle is valid in the unit circle

• Due to the restriction of the inverse function's range