How to find the range of the sine and cosine graph

How to find the range of the sine and cosine graph

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the concepts of domain and range in functions, focusing on sine and cosine. It uses the unit circle to evaluate these functions, highlighting the importance of angles and the radius. The tutorial demonstrates graphing sine and cosine, emphasizing the range of these graphs, which is between -1 and 1. It concludes by summarizing the range of trigonometric functions, including cotangent.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the domain of a function?

The minimum input value

The maximum output value

All possible input values

All possible output values

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the radius of the unit circle used in trigonometric evaluations?

2

0.5

3

1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following angles is commonly used in evaluating sine and cosine functions?

π / 10

π / 2

π / 5

π / 8

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the range of the sine function?

Between -2 and 2

Between -1 and 1

Between 0 and 2

Between 0 and 1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the graph of the cosine function behave?

Starts at 2 and goes to -2

Starts at -1 and goes to 1

Starts at 1 and oscillates between -1 and 1

Starts at 0 and goes to 2π