Using the period to help evaluate a trig function for an angle - free math help

Using the period to help evaluate a trig function for an angle - free math help

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the concept of the unit circle and radians, focusing on evaluating the cosine of negative angles. It discusses the importance of understanding the unit circle, simplifying calculations using denominators, and rewriting expressions in terms of π. The tutorial concludes with a final evaluation of the cosine of -3π/2, emphasizing the ability to perform these calculations mentally without drawing the circle.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of π in terms of radians?

9.42

1.57

6.28

3.14

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the unit circle divided to handle large angles?

By using fractions of 360

By using degrees

By using fractions of π

By using fractions of 180

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the cosine of -3π/2?

Undefined

1

0

-1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of the point (0, 1) on the unit circle?

It represents the angle π/2

It represents the angle 2π

It represents the angle 0

It represents the angle π

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many times does the angle -15π/2 go around the circle?

7 times

5 times

6 times

3 times