Inverse Trigonometric Functions and Their Properties

Inverse Trigonometric Functions and Their Properties

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Hard

CCSS
HSF.TF.B.7, HSF-BF.B.4D, HSF.TF.A.2

+1

Standards-aligned

Created by

Lucas Foster

FREE Resource

Standards-aligned

CCSS.HSF.TF.B.7
,
CCSS.HSF-BF.B.4D
,
CCSS.HSF.TF.A.2
CCSS.HSG.SRT.C.7
,
This video tutorial explains how to evaluate inverse trigonometric expressions involving inverse cosecant, secant, and cotangent using the unit circle. It covers the range restrictions for each function and demonstrates how to find angles with specific trigonometric values. The video provides examples for each inverse function, showing how to use the unit circle to determine the correct angle in radians or degrees.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the range of the inverse cosecant function?

From -π/2 to π/2, excluding 0

From 0 to π, excluding π/2

From -π to π, excluding 0

From 0 to 2π, excluding π

Tags

CCSS.HSF.TF.B.7

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which angle corresponds to an inverse cosecant value of -√2?

-π/4 radians

π/2 radians

-π/2 radians

π/4 radians

Tags

CCSS.HSG.SRT.C.7

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reciprocal of the sine function?

Cosecant

Tangent

Secant

Cotangent

Tags

CCSS.HSF-BF.B.4D

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the range of the inverse secant function?

From -π to π, excluding 0

From 0 to 2π, excluding π

From -π/2 to π/2, excluding 0

From 0 to π, excluding π/2

Tags

CCSS.HSF.TF.B.7

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which angle corresponds to an inverse secant value of -2?

π/3 radians

π/6 radians

5π/6 radians

2π/3 radians

Tags

CCSS.HSF.TF.A.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which quadrant do we find the angle for an inverse secant value of -2?

Fourth quadrant

Third quadrant

First quadrant

Second quadrant

Tags

CCSS.HSF-BF.B.4D

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the range of the inverse cotangent function according to most textbooks?

From 0 to π

From -π/2 to π/2

From 0 to 2π

From -π to π

Tags

CCSS.HSF.TF.B.7

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