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 find a point on the unit circle for the angle T = -3π/4. It emphasizes the importance of recognizing negative angles and how to navigate the unit circle in a negative direction. The tutorial breaks down the unit circle into fractions and identifies the terminal side of the angle. It then calculates the coordinates in the third quadrant, highlighting that both x and y values are negative. The tutorial concludes with a summary of the coordinate point at the given angle.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of the negative sign in the angle -3π/4?

It suggests the angle is in the first quadrant.

It indicates a clockwise direction on the unit circle.

It means the angle is larger than π.

It shows the angle is measured in degrees.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is π divided to locate the angle -3π/4 on the unit circle?

Into four parts

Into two parts

Into six parts

Into three parts

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reflection of a point on the unit circle?

A point that is in the same quadrant

A point that is at the same distance from the origin

A point that is at the same angle but different radius

A point that is directly opposite on the circle

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which quadrant is the angle -3π/4 located?

First quadrant

Second quadrant

Third quadrant

Fourth quadrant

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the coordinates of the point at angle -3π/4 in the third quadrant?

(sqrt 2 / 2, sqrt 2 / 2)

(-sqrt 2 / 2, -sqrt 2 / 2)

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

(sqrt 3 / 2, sqrt 3 / 2)