AnswersCMS 2026-2027 NC Math 3 CREDIT RECOVERYTrigonometric Functions

Practice Test Answers

10 verified answers
1
Free Preview

Given right triangle RST , what is the value of sine of cap s ?

A
5 over 12
B
5 over 13
C
13 over 12
D
12 over 13
2
Free Preview

How long is the arc intersected by a central angle of pi over 3 radians in a circle with a radius of 6 ft? Round your answer to the nearest tenth. Use 3 point 1 4 for pi

A
1 point 0 ft
B
5 point 7 ft
C
7 point 0 ft
D
6 point 3 ft
3

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 period of the function is 4 pi .
C
The amplitude of the function is 2 .
D
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 .
4

Which of the following is the graph of y is equal to sine of open paren 4 times open paren x minus pi close paren close paren ?

A
Image with description A coordinate plane with a horizontal x-axis and a vertical y-axis. The vertical axis is labeled from negative 2 to 2 in increments of 1. The horizontal axis has tick marks labeled pi and 2 pi to the right of the origin, and negative pi and negative 2 pi to the left of the origin. A wave curve with a peak at 1 and a trough at negative 1 passes through 0 comma 0. To the right of the origin, the curve has a peak between 0 comma 0 and pi, a trough between pi and 2 pi, and another peak after 2 pi before ending with a downward-pointing arrow. To the left of the origin, the curve has a trough between 0 comma 0 and negative pi, a peak between negative pi and negative 2 pi, and another trough after negative 2 pi before ending with an upward-pointing arrow.
B
Image with description A coordinate plane with a horizontal x-axis and a vertical y-axis. The vertical axis is labeled from negative 2 to 2 in increments of 1. The horizontal axis has two tick marks to the right labeled pi and 2 pi, and one unlabeled tick mark to the left. A wave curve with a peak at 1 and a trough at negative 1 forms a W-shaped curve between each consecutive tick mark. Each W-shaped segment has two troughs, one peak in the middle, and its outer two peaks aligned directly above the tick marks. The curve crosses the vertical axis at 0 comma 1 and ends with an upward-pointing arrow on both the far right and far left.
C
Image with description A coordinate plane with a horizontal x-axis and a vertical y-axis. The vertical axis is labeled from negative 2 to 2 in increments of 1. The horizontal axis has two tick marks to the right labeled pi and 2 pi, and one unlabeled tick mark to the left. A wave curve with a peak at 1 and a trough at negative 1 passes through 0 comma 0, completing 2 full cycles between each tick mark on the horizontal axis. The curve ends with an upward-pointing arrow just past 2 pi on the right, and a downward-pointing arrow near the tick mark on the left.
D
Image with description A coordinate plane with a horizontal x-axis and a vertical y-axis. The vertical axis is labeled from negative 2 to 2 in increments of 1. The horizontal axis has tick marks labeled pi and 2 pi to the right of the origin, and negative pi and negative 2 pi to the left of the origin. A wave curve with a peak at 1 and a trough at negative 1 passes through the origin 0 comma 0. The curve has one peak and one trough between each consecutive tick mark on the horizontal axis. The curve ends with an upward-pointing arrow past 2 pi to the right of the origin, and a downward-pointing arrow past negative 2 pi to the left of the origin.
5

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

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

An angle measuring 870 n degrees is in standard position. For which value of n will the terminal side fall on the y -axis?

A
n is equal to 4
B
n is equal to 3
C
n is equal to 6
D
n is equal to 5
7

What is the general equation of a sine function with an amplitude of 6 , a period of pi over 4 , and a horizontal shift of pi over 2 ?

A
y is equal to 8 sine open paren 4 times open paren x minus pi over 2 close paren close paren
B
y is equal to 6 sine open paren 8 times open paren x minus pi over 2 close paren close paren
C
y is equal to sine of open paren 8 times open paren x minus pi over 2 close paren close paren
D
y is equal to 6 sine 8 x plus pi over 2
8

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

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

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 340 n degrees , for any integer n
C
95 degrees minus 780 n degrees , for any integer n
D
95 degrees minus open paren 1 comma 080 n close paren degrees , for any integer n
10

Given right triangle QRS , what is the value of sine of open paren 30 degrees close paren ?

A
1 half
B
the fraction with numerator square root of 3 and denominator 2
C
2 over 1
D
the fraction with numerator square root of 3 and denominator 3

Did you find these answers helpful?

More from this Course

practice test
18 verified answers

Practice Test

practice test
11 verified answers

Practice Test

practice test
10 verified answers

Practice Test

Practice Test Answers — CMS 2026-2027 NC Math 3…