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WorksheetsSolving by Trig Ratios
Total questions: 75
Worksheet time: 3hrs 2mins
Name
Class
Date
1.
What is the ratio for Sine?
a)
Hyp/Opp
b)
Opp/Hyp
c)
Opp/Adj
d)
Adj/Opp
2.
What is the ratio for Cosine?
a)
Opp/Hyp
b)
Opp/Adj
c)
Adj/Opp
d)
Adj/Hyp
3.
Which side is adjacent to angle x?
a)
1
b)
2
c)
3
4.
What is the ratio for Tangent
a)
Opp/Hyp
b)
Adj/Opp
c)
Opp/Adj
d)
Hyp/Opp
5.
Which side is opposite angle x?
a)
1
b)
2
c)
3
6.
Which side is the hypotenuse?
a)
1
b)
2
c)
3
7.
Which trig function would you use to solve for x?
a)
Sin 40 = x/19
b)
Cos 40 = x/19
c)
Tan 40 = x/19
8.
Which trig function would you use to solve for x?
a)
Sin 37 = 11/x
b)
Cos 37 = 11/x
c)
Tan 37 = 11/x
9.
Solve for x. Round to the nearest tenth.
a)
103.5
b)
4.7
c)
55.0
d)
23.4
10.
Solve for x. Round to the nearest tenth.
a)
9.8
b)
0.1
c)
0.038
d)
9.9
11.
Select the correct ratio for SinA
a)
37/35
b)
12/35
c)
35/37
d)
12/37
12.
Select the correct ratio for TanC
a)
20/15
b)
15/20
c)
20/25
d)
15/25
13.
Select the correct ratio for CosC
a)
30/34
b)
16/34
c)
17/15
d)
30/16
14.
When working with Trig ratios, Law of Sines, or Law of Cosines the calculator should be in what mode?
a)
Radian
b)
Classic
c)
Degree
d)
Triangle
15.
Which Law would you use?
a)
Law of Sines
b)
Law of Cosines
c)
Law of the Jungle
d)
Law of Gravity
16.
Which Law would you use?
a)
Law of Sines, but use inverse to find angle measure
b)
Law of Cosines, but use inverse to find angle measure
c)
Law of the Jungle, and watch out for the poison dart frog
d)
Law of Gravity, and watch out for the apples falling from the tree
17.
Which Law would you use?
a)
Law of Sines
b)
Law of Cosines
c)
Law of the Jungle
d)
Law of Gravity
18.
If you are given the opposite side and hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
19.
If you are given the two sides that are not the hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
20.
If you are given the hypotenuse and an adjacent side, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
21.
If you are given 2 of the sides to an obtuse triangle, which trig function should you use to find the other side?
a)
sine
b)
cosine
c)
tangent
d)
You can only use trig functions on right triangles.
22.
a)
24/32
b)
32/24
c)
32/40
d)
24/40
23.
a)
14/48
b)
48/50
c)
14/50
d)
48/14
24.
a)
27/36
b)
27/45
c)
45/36
d)
45/27
25.
Which one is one of the easy ways to learn trigonometric ratios?
a)
Sah Coh Toa
b)
Soh Cah Toa
c)
Soh Cah Tao
d)
Soh Ceh Toa
26.
Choose the correct ratio.
a)
cos(33)=x/14
b)
sin(33)=x/14
c)
cos(33)=14/x
d)
sin(33)=14/x
27.
Choose the correct ratio.
a)
sinZ=5/13
b)
sinX=5/13
c)
cosX=13/12
d)
tanZ=12/5
28.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
29.
Which trigonometric ratio is correct?
a)
sinA= opp/adj
b)
cosA= opp/hyp
c)
tanA= opp/adj
d)
sinA= adj/opp
30.
If you are given the hypotenuse and an adjacent side, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
31.
Find Cos(A) as a decimal rounded the the nearest ten-thousandth.
a)
.4706
b)
1.875
c)
.8824
d)
.5333
32.
Find sin C
a)
14 / 50
b)
50 / 14
c)
48 / 50
d)
50 / 48
33.
Find cos Z
a)
30 / 24
b)
18 / 24
c)
18 / 30
d)
24 / 30
34.
Find tan C
a)
27 / 45
b)
27 / 36
c)
36 / 27
d)
36 / 45
35.
Which is the correct set up to solve for x?
a)
sin 72 = 6 / x
b)
cos 72 = 6 / x
c)
tan 72 = 6 / x
36.
Which is the correct set up to solve for x?
a)
sin 73 = x / 6
b)
cos 73 = x / 6
c)
tan 73 = x / 6
37.
Which is the correct set up to solve for x?
a)
sin 24 = x / 12
b)
cos 24 = x / 12
c)
tan 24 = x / 12
38.
Which is the correct set up to solve for x?
a)
sin 37 = x / 12
b)
cos 37 = 12 / x
c)
tan 37 = x / 12
d)
sin 37 = 12 / x
39.
Which is the correct set up to solve for x?
a)
sin 49 = 14 / x
b)
cos 49 = x / 14
c)
tan 49 = 14 / x
d)
tan 49 = x / 14
40.
Which is the correct set up to solve for x?
a)
sin 51 = 14 / x
b)
cos 51 = x / 14
c)
sin 51 = x / 14
d)
cos 51 = 14 / x
41.
Which is the correct set up to solve for x?
a)
sin 21 = x / 22
b)
sin 21 = 22 / x
c)
cos 21 = x / 22
d)
cos 21 = 22 / x
42.
Which is the correct set up to solve for x?
a)
cos 55 = x / 29
b)
sin 55 = 29 / x
c)
tan 55 = 29 / x
d)
cos 29 = x / 55
43.
Give the Ratio for SIN X
a)
opp/adj
b)
Adj/hyp
c)
Opp/hyp
d)
adj/opp
44.
Give the Ratio for COS X
a)
Adj/Hyp
b)
Opp/Adj
c)
Adj/Opp
d)
Opp/Hyp
45.
Give the Ratio for TAN X
a)
Adj/Opp
b)
Opp/Adj
c)
Adj/Hyp
d)
Opp/Hyp
46.
a)
A
b)
B
c)
C
d)
D
47.
a)
A
b)
B
c)
C
d)
D
48.
Choose the correct ratio.
a)
sinZ=5/13
b)
sinX=5/13
c)
cosX=13/12
d)
tanZ=12/5
49.
What is the ratio for Tangent
a)
Opp/Adj
b)
Adj/Opp
c)
Opp/Hyp
d)
Hyp/Opp
50.
What is the ratio for Cosine?
a)
Opp/Hyp
b)
Opp/Adj
c)
Adj/Opp
d)
Adj/Hyp
51.
What is the ratio for Sine?
a)
Hyp/Opp
b)
Opp/Hyp
c)
Opp/Adj
d)
Adj/Opp
52.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4
53.
2x - 3 + 4x = 27
a)
12
b)
4
c)
5
d)
15
54.
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1
55.
2x + 3(5x - 7) = 47
a)
1
b)
2
c)
3
d)
4
56.
4x + 10 = -26
a)
4
b)
-4
c)
-9
d)
9
57.
Solve.
(2x - 3) / 4 = 9
(2x - 3) / 4 = 9
a)
x = 24
b)
x = 12
c)
x = 17.5
d)
x = 19.5
58.
Solve 5x + 7 = -13
a)
x=4
b)
x=-4
c)
x=5
d)
x=-5
59.
a)
4
b)
2
c)
-2
d)
-4
60.
a)
A
b)
B
c)
C
d)
D
61.
2x + 3(5x - 7) = 47
a)
x = 1
b)
x = 2
c)
x = 3
d)
x = 4
62.
a)
1
b)
0
c)
2
d)
7
63.
-11 + 3(b + 5) = 7
a)
b = 1
b)
b= -1
c)
b = 3
d)
b = -3
64.
2 + 14a = -8 + 9a
a)
-2
b)
3
c)
5
d)
-10
65.
a)
9
b)
3
c)
6
d)
0
66.
10(h+1)-4=76
a)
h=10
b)
h=4
c)
h=7
d)
h=76
67.
22 + 2a = 37 + 6 + a
a)
21
b)
-21
c)
5
d)
6
68.
Solve the equation:
3(x - 1) = 2x + 9
3(x - 1) = 2x + 9
a)
x = 12
b)
no solution
c)
x = 10
d)
x = 6
69.
Solve the equation:
3x - x + 2 = 4(2x - 1)
3x - x + 2 = 4(2x - 1)
a)
infinite solutions
b)
x = 1
c)
x = -1
d)
no solution
70.
Describe the solution set:
2(x + 5) = 2x + 5
2(x + 5) = 2x + 5
a)
one solution
b)
no solution
c)
infinitely many solutions
d)
two solutions
71.
Which step cannot be performed first when solving the equation
5 - 2(x - 7) = x + 1 + 3x
5 - 2(x - 7) = x + 1 + 3x
a)
Distributing -2 to (x - 7)
b)
Combining x and 3x
c)
Subtracting 1 from both sides
d)
5 - 2
72.
Solve the equation:
½ (2x + 6) = 3x + 13
½ (2x + 6) = 3x + 13
a)
no solution
b)
x = 8
c)
x = -5
d)
x = 7
73.
Solve the equation:
4 - 6x - 2= -2(3x-1)
4 - 6x - 2= -2(3x-1)
a)
no solution
b)
infinitely many solutions
c)
x = ⅓
d)
x = 4
74.
Which of the equations has no solution?
a)
2x + 1 = 5x - 3
b)
2(x - 7) = 2x-14
c)
3(2x+1) = 6x+1
d)
15x - 30 = 0
75.
Solve the equation:
3x - x + 4 = 4(2x +1)
3x - x + 4 = 4(2x +1)
a)
no solution
b)
infinite solutions
c)
x = 6
d)
x = 0
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