Evaluate the cosine inverse of 1/2

The video tutorial explains how to find the cosine inverse of 1/2. It begins by introducing the concept of cosine inverse and its relation to angles. The instructor discusses the unit circle and the angles that satisfy the cosine equation. The tutorial emphasizes the importance of understanding the restricted range of the inverse function, leading to the conclusion that the cosine inverse of 1/2 is π/3.

What is the main goal when finding the cosine inverse of a value?

• To determine the angle whose cosine is the given value

• To find the sine of the value

• To calculate the tangent of the value

• To find the square root of the value

How many angles satisfy the equation where cosine equals 1/2?

• One

• Four

• Two

• Three

Why does a calculator provide only one answer for the cosine inverse?

• Because it can only calculate one angle at a time

• Due to the restricted range of the inverse function

• Due to a limitation in its processing power

• Because it ignores negative angles

Which angle is the correct answer for the cosine inverse of 1/2 within the restricted range?

• 2π/3

• π/2

• π/4

• π/3

What is the importance of understanding the restricted range in inverse functions?

• It helps in finding multiple solutions

• It ensures the correct angle is chosen

• It allows for faster calculations

• It is not important