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Reference Angles and Radian Measures

Reference Angles and Radian Measures

Assessment

Interactive Video

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to find reference angles for angles given in radians. It covers several examples, including angles like 5π/6, 11π/4, -8/3π, and -3π/4. The instructor demonstrates how to convert these angles into reference angles by using arithmetic and understanding the position of angles in different quadrants. The tutorial emphasizes careful arithmetic and understanding of radians to avoid common mistakes.

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28 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the full circle in radians?

4π

3π

2π

π

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which quadrant does the angle 5π/6 lie?

Quadrant II

Quadrant III

Quadrant I

Quadrant IV

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reference angle for 5π/6?

π/4

π/3

π/2

π/6

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reference angle for an angle in Quadrant II?

θ

2π - θ

θ - π

π - θ

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reference angle for an angle in Quadrant I?

π - θ

θ

θ - π

2π - θ

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reference angle for an angle of π/2?

π

0

π/2

2π

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reference angle for an angle of 0?

0

π/2

π

2π

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