Trigonometric Functions and Angles

The video tutorial explains how to evaluate inverse trigonometric expressions using reference triangles and the unit circle. It covers inverse cosine of sine, inverse sine of tangent, inverse sine of cosine, and inverse tangent of cosine. The tutorial demonstrates how to sketch angles in standard position, determine reference angles, and use reference triangles to find trigonometric values. It also explains how to use the unit circle for specific evaluations, providing a comprehensive understanding of inverse trigonometric functions.

What is the reference angle for 4/3 pi radians?

• 2/3 pi radians

• 1/2 pi radians

• pi radians

• 1/3 pi radians

Tags

CCSS.HSF.TF.A.2

In which quadrant does the angle with a cosine value of negative square root three divided by two lie?

• Fourth

• Third

• Second

• First

Tags

CCSS.HSF.TF.A.2

What is the reference triangle used for evaluating inverse sine of tangent 7/4 pi radians?

• 30-60-90

• 45-45-90

• 60-30-90

• 90-45-45

Tags

CCSS.HSF.TF.B.7

What is the sine value of the angle found using inverse sine of negative one?

• 1

• 0

• Square root of 2

• -1

What is the reference angle for negative 5/6 pi radians?

• 1/6 pi radians

• 2/3 pi radians

• 1/2 pi radians

• 1/3 pi radians

Tags

CCSS.HSF.TF.A.2

In which quadrant is the angle with a sine value of negative square root three divided by two?

• First

• Second

• Fourth

• Third

Tags

CCSS.HSF.TF.A.2

What is the cosine value of negative three pi radians?

• Square root of 2

• 1

• -1

• 0

Tags

CCSS.HSF.TF.A.2

What is the reference triangle used for evaluating inverse tangent of negative one?

• 30-60-90

• 45-45-90

• 60-30-90

• 90-45-45

Tags

CCSS.HSF.TF.B.7

What is the angle in radians for inverse tangent of negative one in the fourth quadrant?

• -1/4 pi radians

• 1/4 pi radians

• -1/2 pi radians

• 1/2 pi radians

Tags

CCSS.HSF.TF.B.7

What is the tangent value of the angle found using inverse tangent of negative one?

• -1

• Square root of 2

• 0

• 1

Tags

CCSS.HSF.TF.B.7