Sketch the angle then find the reference angle

Sketch the angle then find the reference angle

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

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The video tutorial explains how to find coterminal angles by adding or subtracting 2π. The teacher discusses simplifying angles by removing extra revolutions and introduces the concept of reference angles, using π/3 as an example. The tutorial emphasizes understanding the relationship between angles and the X-axis, providing a clear explanation of how to graph these angles.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a coterminal angle?

An angle that is always more than 360 degrees

An angle that is exactly 90 degrees

An angle that shares the same initial and terminal sides as another angle

An angle that is always less than 180 degrees

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you find a coterminal angle?

By multiplying the angle by 2π

By dividing the angle by 2π

By adding 90 degrees to the angle

By adding or subtracting 2π from the angle

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why might one prefer to subtract 6π/3 instead of 2π?

It is a faster method

It is a more accurate method

It makes the angle larger

It simplifies the angle without involving fractions

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of subtracting a full revolution from an angle?

The angle remains unchanged

The angle becomes a reference angle

The angle becomes negative

The angle is simplified to a smaller equivalent angle

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a reference angle?

An angle that is the smallest angle to the X-axis

An angle that is measured from the Y-axis

An angle that is always 180 degrees

An angle that is always 360 degrees