Inverse Cosine Function Concepts

The video tutorial explains how to evaluate inverse cosine function values using reference triangles and the unit circle. It covers finding angles corresponding to specific cosine values, such as -√3/2, √2/2, -1/2, and -1, within the interval from 0 to π radians. The tutorial uses reference triangles like 30-60-90 and 45-45-90 to determine angles in different quadrants and explains the use of the unit circle for specific cases.

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

• 0 to 2π radians

• 0 to π radians

• 0 to 3π/2 radians

• 0 to π/2 radians

Tags

CCSS.HSF.TF.B.7

Which angle corresponds to the inverse cosine of -√3/2?

• 120 degrees

• 150 degrees

• 60 degrees

• 30 degrees

Tags

CCSS.HSF.TF.B.7

In which quadrant is the angle for inverse cosine of -√3/2 located?

• Third quadrant

• Second quadrant

• Fourth quadrant

• First quadrant

Tags

CCSS.HSF.TF.B.7

What is the angle in radians for the inverse cosine of √2/2?

• π/6

• π/2

• π/4

• π/3

Tags

CCSS.HSF.TF.A.2

Which reference triangle is used for evaluating inverse cosine of √2/2?

• 30-30-120 triangle

• 60-60-60 triangle

• 45-45-90 triangle

• 30-60-90 triangle

Tags

CCSS.HSF.TF.B.7

What is the angle in degrees for the inverse cosine of -1/2?

• 120 degrees

• 150 degrees

• 90 degrees

• 60 degrees

Tags

CCSS.HSF.TF.B.7

In which quadrant is the angle for inverse cosine of -1/2 located?

• Fourth quadrant

• First quadrant

• Second quadrant

• Third quadrant

Tags

CCSS.HSF.TF.A.2

Which method is used to evaluate the inverse cosine of -1?

• Graph of sine function

• Graph of tangent function

• Unit circle

• Reference triangles

Tags

CCSS.HSF.TF.B.7

What is the angle in radians for the inverse cosine of -1?

• 3π/2

• 2π

• π

• π/2

Tags

CCSS.HSF.TF.B.7

What is the x-coordinate of the point on the unit circle for inverse cosine of -1?

• √2/2

• -1

• 0

• 1

Tags

CCSS.HSF.TF.B.7