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WorksheetsFinal Exam Review: Topic 7
Total questions: 189
Worksheet time: 6hrs 46mins
Find x round to the nearest tenth.
46.1
4.9
16.4
26.9
The reciprocal of sine is
cosine or cos
secant or sec
cosecant or csc
arcsin or sin−1
The reciprocal of cosine is
sine or sin
secant or sec
cosecant or csc
arccos or cos−1
The reciprocal of tangent is
secant or sec
cosecant or csc
cotangent or cot
arctan or tan−1
If cos60° = 21 , then sec60° =
21
2
−21
−2
If sinθ=54 , then cscθ=
54
−54
−45
45
If tanθ=512 , then cotθ=
−512
512
125
−125
If sinθ=21 , then cscθ=
2
21
−2
−21
If cosθ=−32 , then secθ=
32
23
−32
−23
If sinθ=22 , then cscθ=
22
22 which is 2
−22 which is −2
−22
If sin0°=0 , then csc0°=
0
1
01 which is undefined
"eleventeen"
What is the hypotenuse?
7
24
25
What is the side opposite of C?
7
24
25
What is sinC = ?
24/25
7/25
24/7
What is sin B?
9/41
40/41
9/40
40/9
What is cos B?
9/41
40/41
9/40
40/9
What is the TANGENT ratio of any angle in a right triangle
hypotenuseadjacent
hypotenuseopposite
adjacentopposite
oppositehypotenuse
What is the ratio for SINE?
The ratio of the the leg ADJACENT to the angle to the HYPOTENUSE
The ratio of the the leg OPPOSITE to the angle to the HYPOTENUSE
The ratio of the the leg OPPOSITE to the angle to the ADJACENT
What is the ratio for COSINE?
The ratio of the the leg ADJACENT to the angle to the HYPOTENUSE
The ratio of the the leg OPPOSITE to the angle to the HYPOTENUSE
The ratio of the the leg OPPOSITE to the angle to the ADJACENT
What is the ratio of Tangent W?
SOH-CAH-TOA
1215=45
1512=54
159
912=34
Find X.
24.3
49.2
27.5
27.8
Find X.
2.9
3.3
8.1
4.8
Select the correct ratio for SinA
3537
3512
3735
3712
Solve for x. Round to the nearest tenth.
7.5
34.1
14.1
30.1
csc(25o)
sec(17o)=
sin(42o)=
In ∆ABC, where ∠C is a right angle,
cos A= √21 ⁄ 5 . What is sin B?
√21 ⁄ 5
√21 ⁄ 2
2 ⁄ 5
5 ⁄ √21
In ∆ABC, the complement of ∠B is ∠A. Which statement is always true?
tan∠A = tan∠B
sin∠A = sin∠B
cos∠A = tan∠B
sin∠A = cos∠B
In right triangle ABC, m∠C =90°. If cos B= 5 ⁄ 13, which function also equals 5 ⁄ 13?
tanA
tanB
sinA
sinB
Each trig function has a "cofunction" (Ex: sine and cosine are cofunctions).
How are cofunctions related to each other? (Check all that apply)
Cofunctions of complementary angles are equal.
Cofunctions are reciprocals of each other.
Cofunctions are inverses of each other.
Cofunctions are negatives of each other.
What is sin(30)
21
3
22
23
What is cos(30)
21
3
22
23
What is tan(30)
21
3
22
23
33
What is sin(60)
21
3
22
23
31
What is cos(60)
21
3
22
23
31
What is tan(60)
21
3
23
31
What is sin(45)
21
3
22
23
What is cos(45)
21
3
22
23
31
What is tan(45)
21
1
22
23
You will need to use 45-45-90 and 30-60-90 triangles.
Based on the unit circle, what is the value of sin?
y
x
x/y
y/x
Based on the unit circle, what is the value of cos?
y
x
x/y
y/x
Find sin(-240°)
(√3)/2)
(-1/2)
(√2/2)
(1/2)
Find cos(600°)
(-1/2)
(-√3/2)
(√3/2)
(√2/2)
Find a coterminal angle to 5°.
365°
255°
-220°
-365°
Find a coterminal angle to 45°.
360°
405°
315°
295°
Find a coterminal angle to -90°.
-450°
90°
180°
-180°
Find a coterminal angle to -27°.
-387°
27°
323°
-393°
In which quadrant would you find an angle measuring -740°
1
2
3
4
What are the negative and positive coterminal angles of 120°?
420°, -240°
480°, -240°
300°, -360°
0°, -250°
What are the negative and positive coterminal angles of -165°?
435°, -545°
185°, -305°
195°, -525°
125°, -185°
In which quadrant is -570⁰
I
II
III
IV
Find a coterminal angle to -90°.
-450°
90°
180°
-180°
What are the negative and positive coterminal angles of -225°?
375°, -605°
125°, -355°
135°, -585°
60°, -120°
Which of the following is a negative coterminal angle of 165 degrees?
195
525
-525
-195
Which is a coterminal angle to the angle shown?
613
73
-117
17
Which is a coterminal angle to the angle shown?
831
832
833
834
Which of the following angles are co-terminal to 330o?
-330o, 330o
510o, -210o
690o, -30o
420o, -330o
Which of the following angles are co-terminal to 450o?
450o, -450o
90o, -270o
270o, -90o
420o, -330o

Which sketch is -295°?
A
B
C
D
Find the Sin 25π
0
1
-1
undefined
Find Cos 113π
0
1
-1
undefined
Find Tan 227π
0
1
-1
undefined
Find Sec −17π
0
1
-1
undefined
Find Csc 2−13π
0
-1
1
undefined
Find Cot −55π
0
1
-1
undefined
sin 990°
0
1
-1
undefined
Cos −270°
0
-1
undefined
1
Tan 540°
0
-1
1
undefined
Find Csc 630°
0
1
-1
undefined
Find Sec −720°
0
1
-1
undefined
Find Cot −810°
0
-1
undefined
1
What is the reference angle of 270° ?
0°
90°
−90°
45°
What is the reference angle of −23π
0
π
−π
2π
Find Sin 315°
22
23
2−2
−23
Find Cos 3−55π
21
2−1
23
−23
Find Cot 691π
3
−3
−33
33
Find Sec −510°
2
323
−2
3−23
Find Csc 4−37π
2
2
−2
−2
Match the following angles measured in radians to degrees
90°
2π
180°
π
30°
6π
45°
4π
60°
3π
Match the correct value of the trigo ratios of special angles
22
sin4π
23
cos6π
33
tan6π
21
cos3π
21
sin6π
y=cos(3x - π) - 5?
y= -3sin(x)
y=2cos(1/3x +π/6) +2
How do you find the period of a tangent function?
270/b
π/b
360/b
2π/b
What is the amplitude of the equation:
y = -3tan(x - π)+1
-3
3
π
1
What is vertical shift of this graph?
Down 2
Down 1
No shift
Up 1
Up 2
What trigonometric functions have vertical asymptotes?
sine
cosine
tangent
none listed here
What function is graphed here?
sine
cosine
tangent
not listed here
