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Trigonometric Functions and Their Properties

Trigonometric Functions and Their Properties

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
HSF.TF.A.2, HSF.TF.C.8, HSG.SRT.C.6

+2

Standards-aligned

Created by

Sophia Harris

FREE Resource

Standards-aligned

CCSS.HSF.TF.A.2
,
CCSS.HSF.TF.C.8
,
CCSS.HSG.SRT.C.6
CCSS.8.G.B.7
,
CCSS.8.G.B.8
,
The video tutorial explains how to determine trigonometric function values given that cosine theta equals 3/7 and theta is in the 4th quadrant. It involves sketching a reference triangle, using the Pythagorean theorem to find the missing side, and calculating the remaining trig function values such as sine, secant, tangent, and cotangent. The tutorial also covers rationalizing the results for certain functions.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of cosine theta given in the problem?

6/7

5/7

4/7

3/7

Tags

CCSS.HSF.TF.A.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which quadrant is angle theta located?

Quadrant 2

Quadrant 4

Quadrant 1

Quadrant 3

Tags

CCSS.HSG.SRT.C.6

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the length of the adjacent side of the reference triangle?

3 units

4 units

5 units

6 units

Tags

CCSS.8.G.B.7

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the length of the hypotenuse of the reference triangle?

8 units

7 units

5 units

6 units

Tags

CCSS.8.G.B.8

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of the missing side 'y' in the triangle?

2√10

-3√10

-2√10

3√10

Tags

CCSS.HSF.TF.A.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reciprocal of cosine theta?

10/3

7/3

3/7

3/10

Tags

CCSS.HSF.TF.C.8

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of sine theta?

-2√10/7

2√10/7

-3√10/7

3√10/7

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