What is the trigonometric graph sine

What is the trigonometric graph sine

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

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The video tutorial explains how to graph the sine function using the unit circle. It begins by discussing the representation of sine values as the y-coordinates of angles on the unit circle. The instructor then demonstrates how to create a function table to plot these values and graph the sine curve. The cyclical nature of the sine function is highlighted, showing how it repeats in both positive and negative directions. The tutorial emphasizes understanding the sine function's behavior through graphing and encourages questions for further clarification.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the sine of an angle represent on the unit circle?

The Y coordinate

The X coordinate

The angle itself

The radius

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the sine value determined for an angle of π/2?

It is undefined

It is -1

It is 0

It is 1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the sine value at an angle of π?

1

0

-1

Undefined

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

At which angle does the sine function return to 0 after π?

π/2

3π/2

π

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the sine value at 3π/2?

1

0

Undefined

-1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the sine function behave as angles continue beyond 2π?

It decreases continuously

It stops

It becomes undefined

It repeats the same pattern

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the sine function when angles are negative?

It stops

It becomes zero

It becomes undefined

It mirrors the positive direction