Learn how to determine the reference angle of an angle in terms of pi

Learn how to determine the reference angle of an angle in terms of pi

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the concept of reference angles, defining them as the acute positive angle between the X axis and the terminal side. It demonstrates how to graph angles in radians, specifically using π, and breaks down the process of calculating reference angles. The tutorial also covers the concept of Theta prime, explaining its significance and calculation as π/6 in the context of a given angle.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a reference angle?

An angle that is always negative

The acute positive angle between the X-axis and the terminal side

An angle that measures more than 180 degrees

The angle formed by the Y-axis and the terminal side

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many radians are in half of a circle?

2π radians

3π radians

π/2 radians

π radians

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When graphing 5π/6, how many sections should the circle be divided into?

4 sections

5 sections

6 sections

8 sections

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reference angle for 5π/6?

π/4

π/3

π/2

π/6

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is the reference angle always positive?

Because it is measured in degrees

Because it is the smallest angle

Because reference angles do not have direction

Because it is always less than 90 degrees