Learn how to use period as an aide to evaluate sine for a negative angle

Learn how to use period as an aide to evaluate sine for a negative angle

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the concept of periods and angles, focusing on rewriting angles greater than 2π with a denominator of 6. It explains how to calculate and verify angle values, specifically -23π/6, and introduces the concept of reference angles. The tutorial also discusses the unit circle, special right triangles, and how to use reflections to determine the positive or negative nature of angles in different quadrants.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the equivalent of 2π when expressed with a denominator of 6?

2π/6

6π/6

18π/6

12π/6

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reference angle for -11π/6?

π/3

π/4

π/2

π/6

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the sine of the angle at π/6 on the unit circle?

0

1/2

1

sqrt(3)/2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which quadrant is associated with positive sine values?

First

Second

Third

Fourth

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you determine the sign of a trigonometric function in a different quadrant?

By using a calculator

By memorizing all angles

By using reference angles and reflections

By using the unit circle