Using coterminal angles to evaluate for sine

Using coterminal angles to evaluate for sine

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve trigonometric problems by focusing on finding angles, particularly using coterminal angles. It begins with an introduction to the problem, followed by a detailed explanation of coterminal angles and how to calculate the smallest positive or negative coterminal angle. The tutorial also covers graphing techniques and reflections, emphasizing the sine function and its coordinates.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving a trigonometric problem involving angles?

Use a calculator to find the sine

Find the angle in terms of π

Calculate all six trigonometric functions

Convert the angle to degrees

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you find the smallest positive or negative coterminal angle?

Subtract 2π from the angle

Add 2π to the angle

Multiply the angle by 2π

Divide the angle by 2π

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the equivalent of 2π in terms of π/3?

12π/3

6π/3

3π/3

9π/3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the coterminal angle of 20π/3 after subtracting 6π/3 multiple times?

2π/3

14π/3

0

8π/3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the sine of 2π/3?

-1/2

sqrt(3)/2

-sqrt(3)/2

1/2