Trigonometric Functions and Vectors

Trigonometric Functions and Vectors

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to find the component form of a vector with a given magnitude and angle. It starts by identifying the vector's position in Quadrant 3 and calculating the angle from the negative Y-axis. Using trigonometric functions, the tutorial demonstrates how to determine the vector's X and Y components, ensuring exact values are obtained. Finally, the vector is expressed in component form, highlighting the negative values due to its position in Quadrant 3.

Read more

15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the magnitude of the vector we are analyzing?

2

√5

2√5

5

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which quadrant does the vector lie?

Quadrant 4

Quadrant 3

Quadrant 1

Quadrant 2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the angle between the vector and the negative Y-axis?

120 degrees

30 degrees

60 degrees

90 degrees

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the angle of the vector in standard position?

300 degrees

270 degrees

240 degrees

210 degrees

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which trigonometric function is used to find the X component of the vector?

Tangent

Cotangent

Sine

Cosine

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the cosine of 240 degrees?

1/2

-1/2

√3/2

-√3/2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the X component of the vector?

√15

-√5

√5

-√15

Create a free account and access millions of resources

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

By signing up, you agree to our Terms of Service & Privacy Policy

Already have an account?