How to Graph an Angle in Terms of PI

How to Graph an Angle in Terms of PI

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to determine if the cosine of an angle is positive or negative using the unit circle. It covers graphing the angle 7π/8, understanding π in terms of eighths, and identifying the terminal side of the angle. The tutorial concludes by determining the sign of the X coordinate in the second quadrant, emphasizing that it is negative.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

The angle in degrees

The radius of the circle

The x-coordinate of the point

The y-coordinate of the point

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the angle 7π/8 visualized on the unit circle?

As a full circle

As seven-eighths of a half-circle

As a quarter of a circle

As a straight line

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which quadrant does the angle 7π/8 lie?

Fourth quadrant

Second quadrant

First quadrant

Third quadrant

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the sign of the x-coordinate for the angle 7π/8?

Zero

Negative

Undefined

Positive

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is the x-coordinate negative for the angle 7π/8?

Because it is in the third quadrant

Because it is in the second quadrant

Because it is in the first quadrant

Because it is in the fourth quadrant