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Understanding Arcsine and Its Properties

Understanding Arcsine and Its Properties

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Practice Problem

Hard

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

Standards-aligned

Created by

Mia Campbell

FREE Resource

Standards-aligned

CCSS.HSF.TF.B.7
,
CCSS.HSF-BF.B.4D
,
CCSS.HSF.TF.A.2
The video tutorial explains how to evaluate expressions involving inverse sine (AR Sin) using the unit circle. It covers the concept of inverse trig functions, their restricted ranges, and how to find angles corresponding to given sine values. The tutorial demonstrates the process for AR Sin 3/2, AR Sin 1, and AR Sin -1/2, using both the unit circle and a graphing calculator for verification.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary goal when evaluating expressions involving inverse sine?

To calculate the tangent of a given angle

To determine the cosine value of a given angle

To find the sine value of a given angle

To find the angle corresponding to a given sine value

Tags

CCSS.HSF-BF.B.4D

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the range of the arcsine function?

0 to π

-π to π

-π/2 to π/2

0 to 2π

Tags

CCSS.HSF.TF.B.7

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which quadrants does the angle for arcsine of 3/2 lie?

Third and fourth

First and fourth

Second and third

First and second

Tags

CCSS.HSF.TF.B.7

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the angle in radians for arcsine of 3/2?

π/6

π/2

π/4

π/3

Tags

CCSS.HSF.TF.B.7

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to switch to degree mode on a calculator when verifying arcsine calculations?

To convert radians to degrees

To ensure the calculator functions properly

To make it easier to recognize decimal approximations

To avoid errors in sine calculations

Tags

CCSS.HSF.TF.B.7

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the angle in degrees for arcsine of 1?

120°

90°

60°

30°

Tags

CCSS.HSF.TF.B.7

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why can't the angle 3π/2 be used for arcsine of 1?

It is not a real number

It is too large

It is not a valid angle

It is not in the range of arcsine

Tags

CCSS.HSF.TF.B.7

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