AnswersMathematics IIITrigonometry of General Triangles and Trigonometric Functions

Practice Test Answers

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Which equation correctly applies the law of cosines to solve for an unknown angle measure?

A
7 squared is equal to 8 squared plus 11 squared minus 2 8 11 cosine cap n
B
7 squared is equal to 8 squared plus 11 squared minus 2 8 11 cosine cap p
C
8 squared is equal to 7 squared plus 11 squared minus 2 7 11 cosine cap p
D
8 squared is equal to 7 squared plus 11 squared minus 2 7 11 cosine cap m
2
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Which equation is correct and can be used to solve for the value of z ?

A
sine of open paren 51 degrees close paren over 2 point 6 is equal to sine of open paren 53 degrees close paren over z
B
sine of open paren 76 degrees close paren over 2 point 6 is equal to sine of open paren 51 degrees close paren over z
C
sine of open paren 51 degrees close paren over 2 point 6 is equal to sine of open paren 76 degrees close paren over z
D
sine of open paren 76 degrees close paren over 2 point 6 is equal to sine of open paren 53 degrees close paren over z
3

What is the best approximation of the value of A ?

A
3 point 3 centimeters
B
3 point 0 centimeters
C
2 point 4 centimeters
D
2 point 7 centimeters
4

What is the area of triangle DEF ?

A
2 square root of 14 square units
B
12 square root of 77 square units
C
2 square root of 2 square units
D
6 square root of 22 square units
6

Which of the following are in correct order from greatest to least?

A
5 pi over 3 , 7 pi over 6 , 2 pi over 3 , pi over 2 , 330 degrees
B
pi over 2 , 2 pi over 3 , 7 pi over 6 , 5 pi over 3 , 330 degrees
C
pi over 2 , 330 degrees , 5 pi over 3 , 7 pi over 6 ' 2 pi over 3
D
330 degrees , 5 pi over 3 , 7 pi over 6 , 2 pi over 3 , pi over 2
7

Which values for theta have the same reference angles?

A
pi over 3 , 5 pi over 6 , 4 pi over 3
B
pi over 2 , 5 pi over 4 , 7 pi over 4
C
pi over 6 , pi over 3 , 5 pi over 6
D
pi over 4 , 3 pi over 4 , 7 pi over 4
12

Which formula gives the zeros of y is equal to sine of x ?

A
k pi for any positive integer k
B
k pi over 2 for any positive integer k
C
k pi over 2 for any integer k
D
k pi for any integer k
13

The depth of the water at the end of a pier changes periodically along with the movement of tides. On a particular day, low tides occur at 12:00 a.m. and 3:30 p.m., with a depth of 3 point 2 5 meters, while high tides occur at 7:45 a.m. and 11:15 p.m., with a depth of 8 point 7 5 meters. Which of the following equations models d , the depth of the water in meters, as a function of time, t , in hours? Let t is equal to 0 be 12:00 a.m.

A
d is equal to negative 2 point 7 5 cosine open paren 4 pi over 29 t close paren plus 6
B
d is equal to negative 2 point 7 5 cosine open paren 4 pi over 31 t close paren plus 6
C
d is equal to negative 3 point 7 5 cosine open paren 4 pi over 31 t close paren plus 5
D
d is equal to negative 3 point 7 5 cosine open paren 4 pi over 29 t close paren plus 5
14

Which measure is of an angle that is coterminal with a 95 degrees angle?

A
95 degrees minus open paren 1 comma 450 n close paren degrees , for any integer n
B
95 degrees minus open paren 1 comma 080 n close paren degrees , for any integer n
C
95 degrees minus 780 n degrees , for any integer n
D
95 degrees minus 340 n degrees , for any integer n
16

Which of the following is true for f of x is equal to negative 2 sine x minus 3 ?

A
The range of the function is the set of real numbers negative 2 is less than or equal to y comma y is less than or equal to 2 .
B
The amplitude of the function is 2 .
C
The graph of the function is the graph of f of x is equal to negative 2 sine x shifted 3 units up.
D
The period of the function is 4 pi .

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Practice Test Answers — Mathematics III