Find the coordinate point of the given angle

Find the coordinate point of the given angle

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to determine the angle π/6 on the unit circle, both in positive and negative directions. It discusses reflecting coordinates over the X-axis to find corresponding points in different quadrants, specifically focusing on the transition from the first to the fourth quadrant. The tutorial concludes with a demonstration of evaluating points on the unit circle using negative angles.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the negative direction of the angle π/6 on the unit circle?

Counterclockwise π/6

Clockwise π/6

Clockwise π/3

Counterclockwise π/3

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does reflecting a point over the X-axis affect its coordinates?

Both X and Y coordinates change

Only the X coordinate changes

Only the Y coordinate changes

Neither coordinate changes

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the Y coordinate of the point in the 4th quadrant for the angle π/6?

1/2

-1/2

-√3/2

√3/2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the X coordinate of the point in the 4th quadrant for the angle π/6?

-√3/2

√3/2

-1/2

1/2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final point on the unit circle for the negative angle -π/6?

(√3/2, 1/2)

(-√3/2, -1/2)

(√3/2, -1/2)

(-√3/2, 1/2)