Inverse Trigonometric Functions Quiz

What does the sine of an angle represent in a right triangle?

• The ratio of the adjacent side to the hypotenuse

• The ratio of the hypotenuse to the opposite side

• The ratio of the opposite side to the adjacent side

• The ratio of the opposite side to the hypotenuse

Tags

CCSS.HSG.SRT.C.6

What happens to the domain and range when finding the inverse of a function?

• The domain becomes the range

• They remain unchanged

• The range becomes the domain

• Both domain and range become infinite

Tags

CCSS.HSF-BF.B.4A

For the inverse sine function, what is the restricted domain used to make it a function?

• From 0 to π

• From 0 to 2π

• From -π to π

• From -π/2 to π/2

Tags

CCSS.HSF-BF.B.4D

What is the principal value range for the inverse cosine function?

• From 0 to 2π

• From -π to π

• From 0 to π

• From -π/2 to π/2

Tags

CCSS.HSF-BF.B.4D

How is the domain of the inverse tangent function restricted?

• From -π to π

• From 0 to π excluding the endpoints

• From 0 to 2π

• From -π/2 to π/2 excluding the endpoints

Tags

CCSS.HSF-BF.B.4D

In the unit circle, which quadrants are used for the principal values of the inverse sine function?

• Quadrants II and III

• Quadrants I and IV

• Quadrants III and IV

• Quadrants I and II

Tags

CCSS.HSF.TF.A.2

What is the effect of a horizontal dilation by a factor of 2 on the graph of an inverse trigonometric function?

• It has no effect on the graph

• It stretches the graph horizontally by a factor of 2

• It compresses the graph horizontally by a factor of 2

• It stretches the graph vertically by a factor of 2

Tags

CCSS.HSF-BF.B.4A

What is the principal value of the inverse sine of 1/2?

• π/6

• π/4

• π/3

• 5π/6

Tags

CCSS.HSF.TF.B.7

What is the principal value of the inverse cosine of -√2/2?

• π/4

• 3π/4

• 2π/3

• π/6

Tags

CCSS.HSF.TF.B.7

What is the principal value of the inverse tangent of √3?

• π/4

• 2π/3

• π/3

• π/6

Tags

CCSS.HSF.TF.B.7