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Trigonometric Functions and Inverses

Trigonometric Functions and Inverses

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Practice Problem

Hard

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

Standards-aligned

Created by

Emma Peterson

FREE Resource

Standards-aligned

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

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

√3

0

-1

1

Tags

CCSS.HSF.TF.B.7

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

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