Inverse Cosine Function Concepts

Inverse Cosine Function Concepts

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Hard

CCSS
HSF.TF.B.7, HSF.TF.A.2

Standards-aligned

Created by

Emma Peterson

FREE Resource

Standards-aligned

CCSS.HSF.TF.B.7
,
CCSS.HSF.TF.A.2
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.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

120 degrees

150 degrees

60 degrees

30 degrees

Tags

CCSS.HSF.TF.B.7

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

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