Understanding Trigonometric Functions Using the Unit Circle

Understanding Trigonometric Functions Using the Unit Circle

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Hard

CCSS
HSF.TF.A.2

Standards-aligned

Created by

Ethan Morris

FREE Resource

Standards-aligned

CCSS.HSF.TF.A.2
The video tutorial explains how to determine exact trigonometric function values using the unit circle. It covers sketching angles in standard position and finding where the terminal side intersects the unit circle to obtain cosine and sine values. The tutorial provides examples for angles 315 degrees, 600 degrees, and -450 degrees, demonstrating how to calculate their trigonometric values and use coterminal angles to find the same results. The video emphasizes understanding the relationship between angles and their corresponding points on the unit circle.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between the x-coordinate on the unit circle and the trigonometric function?

It represents the cotangent value.

It represents the tangent value.

It represents the cosine value.

It represents the sine value.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many degrees do you rotate counterclockwise to reach 315 degrees from the initial side?

90 degrees

315 degrees

270 degrees

180 degrees

Tags

CCSS.HSF.TF.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the sine value for 315 degrees?

Negative square root 2 divided by 2

1/2

Negative 1/2

Square root 2 divided by 2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many degrees do you need to rotate after a full circle to reach 600 degrees?

240 degrees

300 degrees

120 degrees

60 degrees

Tags

CCSS.HSF.TF.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the cosine value for 600 degrees?

-Square root 3 divided by 2

1/2

Square root 3 divided by 2

-1/2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which angle is coterminal with 600 degrees?

240 degrees

120 degrees

300 degrees

60 degrees

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which direction do you rotate to find the trigonometric values for -450 degrees?

Downward

Counterclockwise

Clockwise

Upward

Tags

CCSS.HSF.TF.A.2

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?