Learning to find the reference angle in the second quadrant

Learning to find the reference angle in the second quadrant

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the concept of reference angles, focusing on their calculation and representation in different quadrants. It begins with an introduction to quadrants and the definition of a reference angle, often denoted as Theta prime. The instructor demonstrates how to graph angles, specifically using 2π/3 as an example, and explains the importance of visualizing angles to understand their positions. The tutorial then covers the calculation of reference angles in radians, particularly in the second quadrant, using the formula Theta prime equals π minus Theta. The process of ensuring common denominators for subtraction is also highlighted.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reference angle often referred to as?

Beta

Alpha

Theta prime

Theta double prime

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which quadrant is the angle 2π/3 located?

Third quadrant

Second quadrant

First quadrant

Fourth quadrant

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula to find Theta prime in the second quadrant?

Theta prime equals Theta minus π

Theta prime equals π plus Theta

Theta prime equals π minus Theta

Theta prime equals 2π minus Theta

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can π be rewritten to simplify the calculation of Theta prime?

As 4π/3

As 3π/3

As 5π/3

As 2π/3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reference angle for 2π/3?

π/2

π/3

2π/3

π