Find the value the limits with cosine

Find the value the limits with cosine

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to replace X with 2 in the cosine function, focusing on the cosine of 2π/3. It discusses the coordinate points for π/3 and analyzes the second quadrant, where the cosine represents the X coordinate. The tutorial concludes by calculating the cosine value as -1/2.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in evaluating the cosine of 2π/3?

Find the tangent of 2π/3

Find the sine of 2π/3

Replace X with 2

Replace X with 3

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the coordinate point for π/3?

(-1/2, -sqrt 3 / 2)

(sqrt 3 / 2, 1/2)

(1/2, sqrt 3 / 2)

(-1/2, sqrt 3 / 2)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

Second quadrant

First quadrant

Fourth quadrant

Third quadrant

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the cosine function represent in terms of coordinates?

X-coordinate

Origin

Y-coordinate

Z-coordinate

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of the cosine of 2π/3?

sqrt 3 / 2

1/2

-1/2

-sqrt 3 / 2