Trigonometric Functions and Reference Angles

Trigonometric Functions and Reference Angles

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
HSF.TF.A.2, HSF.TF.A.4

Standards-aligned

Created by

Emma Peterson

FREE Resource

Standards-aligned

CCSS.HSF.TF.A.2
,
CCSS.HSF.TF.A.4
This video tutorial explains how to use reference angles to evaluate trigonometric functions. It covers the calculation of sine, cosine, tangent, and secant for various angles, including 300 degrees, 120 degrees, 7π/6, -135 degrees, 330 degrees, 11π/4, and -4π/3. The tutorial emphasizes the use of special right triangles and the properties of different quadrants to determine the values of these functions.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reference angle for 300 degrees?

60 degrees

45 degrees

90 degrees

30 degrees

Tags

CCSS.HSF.TF.A.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which quadrant is the angle 300 degrees located?

Quadrant II

Quadrant III

Quadrant I

Quadrant IV

Tags

CCSS.HSF.TF.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of sine of 300 degrees?

-1/2

1/2

√3/2

-√3/2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reference angle for 120 degrees?

45 degrees

30 degrees

90 degrees

60 degrees

Tags

CCSS.HSF.TF.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of cosine of 120 degrees?

√3/2

-√3/2

1/2

-1/2

Tags

CCSS.HSF.TF.A.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reference angle for 7π/6?

π/3

π/4

π/6

π/2

Tags

CCSS.HSF.TF.A.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of tangent of 7π/6?

-√3

1/√3

√3

-1/√3

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