Trigonometric Functions and Inverses

The video tutorial explains how to evaluate various trigonometric expressions using the unit circle. It covers inverse cosine of sine 4/3 pi, inverse sine of tangent 7/4 pi, inverse sine of cosine -5/6 pi, and inverse tangent of cosine -3 pi. Each section involves sketching angles in standard position, identifying terminal sides, and determining function values using the unit circle.

What is the value of sine 4/3 pi radians on the unit circle?

• √3/2

• -√3/2

• -1/2

• 1/2

Tags

CCSS.HSF.TF.B.7

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

• 3/4 pi radians

• 2/3 pi radians

• 5/6 pi radians

• 1/2 pi radians

Tags

CCSS.HSF.TF.A.2

What is the tangent value of 7/4 pi radians?

• √3

• 0

• -1

• 1

Tags

CCSS.HSF.TF.B.7

What is the angle for the inverse sine of -1?

• 0 radians

• pi/4 radians

• pi radians

• -pi/2 radians

Tags

CCSS.HSF-BF.B.4D

In which interval does the output of the inverse sine function lie?

• -pi to pi radians

• 0 to 2pi radians

• -pi/2 to pi/2 radians

• 0 to pi radians

Tags

CCSS.HSF.TF.A.2

What is the cosine value of negative 5/6 pi radians?

• √3/2

• -√3/2

• -1/2

• 1/2

Tags

CCSS.HSF.TF.B.7

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

• -pi/4 radians

• -pi/6 radians

• -pi/3 radians

• -pi/2 radians

Tags

CCSS.HSF.TF.A.2

What is the cosine value of negative 3 pi radians?

• 1

• √3/2

• -1

• 0

Tags

CCSS.HSF.TF.B.7

What is the angle for the inverse tangent of -1?

• -pi/2 radians

• -pi/4 radians

• pi/2 radians

• pi/4 radians

Tags

CCSS.HSF-BF.B.4D

What is the range of the inverse tangent function?

• 0 to 2pi radians

• -pi/2 to pi/2 radians

• 0 to pi radians

• -pi to pi radians

Tags

CCSS.HSF-BF.B.4D