AnswersMath 3Trigonometric Functions

Trigonometric Functions — Test Answers

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1
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What is the approximate length of arc s on the circle? Use 3 point 1 4 for pi Round your answer to the nearest tenth.

A
56 point 5 in.
B
42 point 3 in.
C
14 point 1 in.
D
22 point 5 in.
2
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What is the equation of the graph?

A
y is equal to cosine of open paren x plus pi over 3 close paren
B
y is equal to cosine of open paren x plus 2 pi close paren
C
y is equal to cosine of open paren x plus pi over 2 close paren
D
y is equal to cosine of open paren x plus pi close paren
3

Which function describes the graph?

A
f of x is equal to 6 cosine x
B
f of x is equal to 3 sine x plus 3
C
f of x is equal to 6 sine x
D
f of x is equal to 3 cosine x plus 3
4

What are two possible measures of the angle?

A
negative 120 degrees and 75 degrees
B
negative 270 degrees and 90 degrees
C
negative 270 degrees and 45 degrees
D
negative 120 degrees and 90 degrees
5

Which of the following could be the equation of the function?

A
y is equal to 0 point 5 cosine open paren 4 times open paren x plus pi over 2 close paren close paren minus 2
B
y is equal to 0 point 5 cosine open paren 2 times open paren x minus pi over 2 close paren close paren plus 2
C
y is equal to 0 point 5 cosine open paren 2 times open paren x minus pi close paren close paren minus 2
D
y is equal to 0 point 5 cosine open paren 4 times open paren x plus pi close paren close paren plus 2
6

What is the equation of the graph?

A
y is equal to cosine of open paren x plus 45 degrees close paren
B
y is equal to cosine of open paren x plus 90 degrees close paren
C
y is equal to sine of open paren x plus 90 degrees close paren
D
y is equal to sine of open paren x plus 45 degrees close paren
7

Which statements are true about triangle QRS ? Choose three correct answers.

A
The side opposite angle cap q is line segment RS .
B
The side adjacent to angle cap q is line segment QS .
C
The side opposite angle cap r is line segment RQ .
D
The hypotenuse is line segment QR .
E
The side adjacent to angle cap r is line segment SQ .
8

Given triangle JKL , sine of open paren 38 degrees close paren equals

A
tangent of open paren 52 degrees close paren .
B
cosine of open paren 52 degrees close paren .
C
tangent of open paren 38 degrees close paren .
D
cosine of open paren 38 degrees close paren .
9

Which of the following could be the measure of the angle?

A
negative 180 degrees
B
negative 120 degrees
C
510 degrees
D
140 degrees
10

Given right triangle ABC , what is the value of tangent of cap A ?

A
5 over 13
B
13 over 12
C
12 over 13
D
12 fifths
11

Which function is graphed?

A
f of x is equal to negative sine times x
B
f of x is equal to sine of x
C
f of x is equal to cosine of x
D
f of x is equal to negative cosine times x
12

What is the approximate length of arc s on the circle? Use 3 point 1 4 for pi Round your answer to the nearest tenth.

A
56 point 5 in.
B
14 point 1 in.
C
42 point 3 in.
D
22 point 5 in.
13

Which function is graphed?

A
f of x is equal to cosine of x
B
f of x is equal to negative sine times x
C
f of x is equal to sine of x
D
f of x is equal to negative cosine times x
14

A circle has a central angle measuring 3 pi over 4 radians that intersects an arc of length 45 in. What is the length of the radius of the circle? Round your answer to the nearest tenth. Use 3 point 1 4 for pi

A
19 point 1 in.
B
2 point 4 in.
C
105 point 6 in.
D
135 point 0 in.
15

Which transformations are needed to change the parent cosine function to y is equal to 0 point 3 5 cosine open paren 8 times open paren x minus pi over 4 close paren close paren ?

A
vertical stretch of 0 point 3 5 , horizontal stretch to a period of 16 pi , phase shift of pi over 4 units to the right
B
vertical compression of 0 point 3 5 , horizontal compression to a period of pi over 4 , phase shift of pi over 4 units to the right
C
vertical stretch of 0 point 3 5 , horizontal stretch to a period of pi over 4 , phase shift of pi over 4 units to the right
D
vertical compression of 0 point 3 5 , horizontal compression to a period of 4 pi , phase shift of pi over 4 units to the left
16

A circle has a radius of 5 ft, and an arc of length 7 ft is made by the intersection of the circle with a central angle. Which equation gives the measure of the central angle, theta ?

A
theta is equal to 7 fifths
B
theta is equal to 5 sevenths
C
theta is equal to 7 plus 5
D
theta is equal to 7 times 5
17

How long is the arc intersected by a central angle of pi over 2 radians in a circle with a radius of 4 point 5 cm? Round your answer to the nearest tenth. Use 3 point 1 4 for pi

A
7 point 1 cm
B
2 point 9 cm
C
0 point 3 cm
D
0 point 7 cm
18

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

A
2 pi , 7 pi over 6 , 80 degrees , pi over 4 , 38 degrees
B
38 degrees , pi over 4 , 80 degrees , 7 pi over 6 , 2 pi
C
38 degrees , 80 degrees , pi over 4 , 7 pi over 6 , 2 pi
D
2 pi , 38 degrees , 80 degrees , pi over 4 , 7 pi over 6
19

Which measure is of an angle that is coterminal with a 135 degrees angle?

A
45 degrees
B
90 degrees
C
585 degrees
D
495 degrees
20

Which of the following represents the measures of all angles coterminal with a negative 220 degrees angle?

A
140 plus 360 n , for any integer n
B
140 plus 360 n , for any whole number n
C
360 plus 140 n , for any whole number n
D
360 plus 140 n , for any integer n

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