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Law of Sines & Cosines (and some other trig) Review!

Total questions: 30

Worksheet time: 53mins

Name
Class
Date
1.

Which Law would you use?

a)

Law of Sines

b)

Law of Cosines

c)

Neither

d)

Law of Gravity

2.

Which Law would you use?

a)

Law of Sines

b)

Law of Cosines

c)

Neither

d)

Law of Gravity

3.
Which Law would you use?
a)
Law of Sines
b)
Law of Cosines
c)
Law of the Jungle
d)
Law of Gravity
4.

Which Law would you use?

a)

Law of Sines

b)

Law of Cosines

c)

Murphy's Law

d)

Law of Gravity

5.
What is the measure of angle A?
a)
50 degrees
b)
60 degrees
c)
78 degrees
d)
74 degrees
6.
What is the length of side x?
a)
130 cm
b)
112 cm
c)
150 cm
d)
105 cm
7.
Find angle A
a)
53.6
b)
13.3
c)
113.1
8.
Amanda and Jamie are standing 25 feet apart and spot a bird in the sky between them.  The angle of elevation from Amanda to the bird is 55, and from Jamie to the bird is 63.  How far away is the bird from Amanda?
a)
25.23
b)
23.19
c)
22.15
d)
20.85
9.
Jack is flying his kite.  He runs 100 feet away from his house and lets out 75 feet of string.  The angle of elevation from the ground to the kite is 65 degrees.  How far away is the kite from the house?
a)
9285.73
b)
96.36
c)
24061.81
d)
155.12
10.
Identify the Law of Sines
a)
Sin2x + Cos2x =1
b)
Sin(A)/a = Sin(B)/b = Sin(C)/c
c)
Sin(A)Sin(B)Sin(C) = 1
d)
Soh-Cah-Toa
11.
Which of the following formulas shows the Law of Cosines?
a)
c2 = a2 + b2 - 4ac + cosA
b)
c2 = a2 - b2 - 2abcosC
c)
c2 = a2 + b2 - 2abcosC
d)
(cos A)/a = (cos B)/b
12.

We use the Law of Sines and the Law of Cosines to solve right triangles?

a)

True

b)

False

13.

The Law of Cosines can be used to find side and angle measures given _________________ (SELECT ALL THAT APPLY)

a)

SSS

b)

SSA

c)

SAS

d)

AAS

14.

What information results in an ambiguous case?

a)

SAS

b)

SSA

c)

AAS

15.

A triangle with two sides that measure 6 m and 8 m has an included angle of 137°, what is the side length across from 137° ?

a)

17.8m

b)

14.6m

c)

13.05m

d)

12.9m

16.
Given: B = 70°, a = 11, C = 40° Find: c
a)
11
b)
7.5
c)
70
d)
8
17.

How many triangles can you make if A=53o, b=6, and a=5?

a)

0

b)

1

c)

2

d)

Infinitely many

18.
Solve the Triangle
a=38, b= 31, c= 35
Find A, B and C
a)
A= 43°, B= 47°, C= 90°
b)
A= 70°, B= 50.1°, C= 59.9°
c)
A= 50.1°, B= 70°, C= 59.9°
d)
A= 60°, B= 70°, C= 50°
19.
A=122° c=22 a=31 find B
a)
37
b)
21
c)
13.1
d)
49
20.
Solve the Triangle
B= 85°, C= 47°, and a=19
Find A, b, and c
a)
A= 48°, b=25.5, c= 17.8
b)
A= 48°, b= 19.5, c= 23.4
c)
A= 90°, b= 14, c= 23.6
d)
A= 39°, b= 19, c= 19√2
21.
Parker must find the distance from Point A to Point B on opposite sides of a lake.  He locates Point C that is 860 feet from point A and 175 feet from Point B.  He measures the angle at Point C to be 78 degrees.  Find the distance from point A to point B.
a)
707643.58
b)
841.22
c)
877.62
d)
842.01
22.

Which of the following can produce 0, 1, or 2 triangles?

a)

SAS

b)

AAS

c)

SSA

d)

SSS

23.

Will this make 1 triangle? 2 triangles? or no triangles?

A= 37°, a=8, b=14

a)

1 Triangle

b)

2 Triangles

c)

No Triangles

24.
Please select the correct solution
a)
csc2 x
b)
cot2 x
c)
sin2 x
d)
sec2 x
25.
Please select the correct solution 
cos 2 x + sin 2 x=  
a)
1
b)
csc 2 x + sec 2 x
c)
sin 2 x
d)
1 - sin 2 x
26.
Simplify
a)
sin²θ
b)
cosθ
c)
tanθ
d)
1- sin²θ
27.
Simplify
a)
-1
b)
sin θ
c)
csc θ
d)
1
28.
Simplify
a)
sinθ
b)
cot²θ
c)
tan²θ
d)
cos²θ
29.
arccos (-√3/2)
a)
5π/6
b)
7π/4
c)
-√3/2
d)
-5π/6
30.
arcsin(0)
a)
0
b)
1
c)
1/2
d)
3/2

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