How to find two coterminal angles for a large angle in radians

How to find two coterminal angles for a large angle in radians

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the concept of angles and revolutions, focusing on how to calculate coterminal angles. It demonstrates the process of breaking down angles into parts and finding both positive and negative coterminal angles by adding or subtracting multiples of 2π. The tutorial emphasizes understanding over memorization, encouraging learners to grasp the logic behind the calculations.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of a full revolution in terms of π?

12π

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you express an angle that is 5π/6 short of a full revolution?

12π/6 + 5π/6

6π/6 + 5π/6

10π/6 + 5π/6

8π/6 + 5π/6

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should you be cautious about when finding coterminal angles?

Always subtracting 2π

Using only positive angles

Always adding 2π

Memorizing plus or minus without understanding

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If you subtract 12π/6 from 5π/6, what is the resulting angle?

-5π/6

-7π/6

5π/6

7π/6

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the negative coterminal angle of 5π/6?

-5π/6

7π/6

-7π/6

5π/6