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The Cosine Graph

In this worksheet, students read values from a simple cosine graph.

'The Cosine Graph' worksheet

Key stage:  KS 4

Curriculum topic:  Geometry and Measures

Curriculum subtopic:  Know the Exact Values of Sin, Cos and Tan

Difficulty level:  

down

Worksheet Overview

QUESTION 1 of 10

The cosine function is an example of a circular function.  It is a periodic function that repeats itself every 360°.

 

Look at the cosine curve shown below.

 

 

Notice that:

It passes through (0, 1).

The y-values lie between -1 and 1.

cos 0° = 1; cos 60° = 0.5; cos 90° = 0; cos 120° = -0.5; cos 180° = -1.

The curve is symmetrical in the y-axis.

Use the cosine graph shown below to state the value of:

 

cos 180°

Use the cosine graph shown below to state the value of:

 

cos 90°

Use the cosine graph shown below to state the value of:

 

cos 270°

Use the cosine graph shown below to state the value of:

 

cos -270°

Use the cosine graph shown below to state the value of:

 

cos -60°

Use the cosine graph shown below to state the value of:

 

cos 240°

Use the cosine graph shown below to state the value of:

 

cos 300°

Use the cosine graph shown below to state the value of:

 

cos -240°

Use the cosine graph shown below to state all the angles x for which:

 

cos x° = 1

360

90

30

0

-210

-270

-330

-360

Use the cosine graph shown below to state all the angles x for which:

 

cos x° = 0.5

300

90

60

30

-60

-270

-300

-330

  • Question 1

Use the cosine graph shown below to state the value of:

 

cos 180°

CORRECT ANSWER
-1
EDDIE SAYS
cos 180° = -1
  • Question 2

Use the cosine graph shown below to state the value of:

 

cos 90°

CORRECT ANSWER
0
EDDIE SAYS
cos 90° = 0
  • Question 3

Use the cosine graph shown below to state the value of:

 

cos 270°

CORRECT ANSWER
0
EDDIE SAYS
cos 270° = 0
  • Question 4

Use the cosine graph shown below to state the value of:

 

cos -270°

CORRECT ANSWER
0
EDDIE SAYS
cos -270° = 0
  • Question 5

Use the cosine graph shown below to state the value of:

 

cos -60°

CORRECT ANSWER
0.5
EDDIE SAYS
cos -60° = 0.5
  • Question 6

Use the cosine graph shown below to state the value of:

 

cos 240°

CORRECT ANSWER
-0.5
EDDIE SAYS
cos 240° = -0.5
  • Question 7

Use the cosine graph shown below to state the value of:

 

cos 300°

CORRECT ANSWER
0.5
EDDIE SAYS
cos 300° = 0.5
  • Question 8

Use the cosine graph shown below to state the value of:

 

cos -240°

CORRECT ANSWER
-0.5
EDDIE SAYS
cos -240° = -0.5
  • Question 9

Use the cosine graph shown below to state all the angles x for which:

 

cos x° = 1

CORRECT ANSWER
360
0
-360
EDDIE SAYS
cos -360° = cos 0° = cos 360° = 1
  • Question 10

Use the cosine graph shown below to state all the angles x for which:

 

cos x° = 0.5

CORRECT ANSWER
300
60
-60
-300
EDDIE SAYS
cos -300° = cos -60° = cos 60° = cos 300° = 0.5
---- OR ----

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