AnswersAlgebra 2Trigonometric Functions

Practice Test Answers

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

A
The graph of the function is the graph of f of x is equal to negative 2 sine x shifted 3 units up.
B
The amplitude of the function is 2 .
C
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 .
D
The period of the function is 4 pi .
4

Which values for theta have the same reference angles?

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

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

What is the length of the hypotenuse in the triangle? Open image in full-screen view

A
14 square root of 3 cm
B
14 square root of 2 cm
C
28 cm
D
14 cm
7

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

A
k pi for any positive integer k
B
k pi for any integer k
C
k pi over 2 for any integer k
D
k pi over 2 for any positive integer k
9

Melanie simplified the expression (cot⁡(x))(1sec⁡(x))as shown. Step 1: the fraction with numerator open paren cosine of x over sine of x close paren and denominator cosine of x Step 2: cosine of x over sine of x times 1 over cosine of x Step 3: 1 over sine of x Step 4: tangent of x In which step did Melanie make the first error, and which expression should she have written in that step?

A
step 1; the fraction with numerator open paren cosine of x over sine of x close paren and denominator sine of x
B
step 4; cosecant of x
C
step 4; cosine of x
D
step 1; the fraction with numerator open paren sine of x over cosine of x close paren and denominator cosine of x
10

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

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