© 2008  Rasmus ehf
and Jóhann Ísak

Trig functions

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Test 3


Instructions

Read each question carefully and choose the answer that you think is most likely to be correct. You can only choose one answer for each question. When you are ready, mark your answers in the spaces on the computer screen and click on the button 'Send answers'. Good luck.

Do the following examples and check the answer that is nearest to being correct.

1.                              How many radians in 135°?

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Possible answers:

A

/2

B

2/3

C

3/4

D

5/6


2.                           How many degrees in  /4 radians?

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Possible answers:

A

45°

B

60°

C

75°

D

90°


3.                         Change 15° to radians.

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Possible answers:

A

≈ 0.065

B

≈ 0.130

C

≈ 0.195

D

≈ 0.262


4.                               Change 5 radians to degrees?

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Possible answers:

A

≈ 150°

B

≈ 195°

C

≈ 240°

D

≈ 286°


5.                                  What is the amplitude of the function f(x) = ½∙cos 3x?

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Possible answers:

A

B

½

C

2

D

3


6.                               What is the wave length ( period) of  f(x) = ½∙cos 3x?

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Possible answers:

A

/2

B

2/3

C

D

3


7.                            Where does the function f(x) = sin(x − /3) intersect the x axis?

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Possible answers:

A

 0

B

/6

C

/3

D

/2


8.                                Where does the function f(x) = cos(x − ) intersect the x axis?

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Possible answers:

A

0

B

/6

C

/3

D

/2


9.                                     What function has the following graph?

                       

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Possible answers:

A

y = ½∙sin 2x + 1

B

y = 2∙sin x/2 + 1

C

y = 2∙sin 2x + 1

D

y = 2∙sin 2x + 2


10.                          Where ( for which x value ) does the function f(x) = tan(x − /2) have a vertical asymptote?

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Possible answers:

A

0

B

/6

C

/3

D

/2


 

Percentage answered correctly =

Correct answers:

Your answers: