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WorksheetsTrig 2nd Semester Final Review (Trig Graphs, Trig Equations, Law of Sines/Cosines, Vectors, Sequences and Series)
Total questions: 45
Worksheet time: 2hrs 50mins
Name
Class
Date
1.
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
2.
Which Law would you use?
a)
Law of Sines
b)
Law of Cosines
c)
Law of the Jungle
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.
Find angle A
a)
53.6
b)
13.3
c)
113.1
5.
find X
a)
52
b)
33
c)
41
d)
29
6.
Which statement describes a vector?
a)
It has magnitude but no direction
b)
It has direction but no magnitude
c)
It has both direction and magnitude
d)
It has constant magnitude but no
direction
direction
7.
If y = <2, 0> and
z = <-1, -4>, find 3y - 2z.
z = <-1, -4>, find 3y - 2z.
a)
<5, -8>
b)
<4, 8>
c)
<8, 8>
d)
<-8, -8>
8.
Find the component form of a vector whose magnitude is 10 and direction is 150°.
a)
<10, 150>
b)
<-8.66, 5>
c)
<6.99 , -7.14>
d)
10i + 150j
9.
The solution of the dot product is always a vector
a)
True
b)
False
10.
Find the angle between vectors <1,3> and <2,-5>.
a)
40.24°
b)
49.76°
c)
139.76°
d)
92.57°
11.
Find the dot product of <1, -2> and <3, 2>.
a)
1
b)
<3, -4>
c)
<4, 0>
d)
-1
12.
Determine the direction and magnitude of the vector 〈-11,5〉
a)
Direction 24.4°
Vertical 12.1
Vertical 12.1
b)
Direction65.6°
Magnitude 12.1
Magnitude 12.1
c)
Direction -24.4°
Magnitude 12.1
Magnitude 12.1
d)
Direction 155.6°
Magnitude 12.1
Magnitude 12.1
13.
What kind of sequence is illustrated below?
400, 200, 100, 50, 25, ...
400, 200, 100, 50, 25, ...
a)
Arithmetic
b)
Geometric
c)
Neither
14.
What is the common difference of the arithmetic sequence below?
-6, -1, 4, 9...
-6, -1, 4, 9...
a)
5
b)
-5
c)
-6
d)
1/5
15.
What is the common ratio for the sequence:
28, 14, 7, 3.5...
28, 14, 7, 3.5...
a)
2
b)
1/2
c)
-14
d)
-7
16.
Find the 22nd term of the following sequence:
5, 8, 11, ...
5, 8, 11, ...
a)
14
b)
68
c)
63
d)
71
17.
a)
2400
b)
2450
c)
4800
d)
9700
18.
Find the sum of the infinite geometric series, if it exists:
5 + 4 + 3.2 + 2.56 + ...
a)
25
b)
5
c)
-1
d)
0.8
19.
What is the sum of the first 10 terms for the following geometric series:
2-6+18-54+...
2-6+18-54+...
a)
59048
b)
-29524
c)
524288
d)
3069
20.
What is csc(x) equivalent to?
a)
1/sin(x)
b)
1/tan(x)
c)
sin(x)
d)
1/cos(x)
21.
Simplify
a)
sin²θ
b)
cosθ
c)
tanθ
d)
1- sin²θ
22.
Simplify: tanxcotx-cos2x
a)
tanx
b)
cotx
c)
sin2x
d)
cos2x
23.
Which of the following is NOT
a solution to
sin θ = √(3) / 2 ?
a solution to
sin θ = √(3) / 2 ?
a)
π / 3
b)
2π / 3
c)
5π / 3
d)
7π / 3
24.
Solve on the domain [0, 2π)
1/2sec x - 1 = 0
1/2sec x - 1 = 0
a)
π/6, 5π/6
b)
π/3, 5π/3
c)
2π/3, 4π/3
d)
7π/6, 11π/6
25.
Solve on the domain [0, 2π)
4sin2x = 3
4sin2x = 3
a)
π/6, 11π/6
b)
π/3, 2π/3
c)
π/6, 5π/6, 7π/6, 11π/6
d)
π/3, 2π/3, 4π/3, 5π/3
26.
Which value represents a vertical shift in the following function y=a*sin(bx - c)+d?
a)
a
b)
b
c)
c
d)
d
27.
Sine or Cosine?
a)
y=sinx
b)
y=cosx
28.
Sine or Cosine?
a)
y=sinx
b)
y=cosx
29.
What is the amplitude of y = 3 cos 2x?
a)
3
b)
2
c)
90
90⁰
90⁰
d)
350⁰
30.
Where does the graph of y = cos x begin?
a)
(0,0)
b)
(0,1)
c)
(0, Pi)
d)
(1, Pi)
31.
What is the equation of the graph?
a)
y = 2 cos x
b)
y = sin x
c)
y = 2 sin x
d)
y = sin 2x
32.
What is the amplitude of the graph shown?
a)
1
b)
2
c)
4
d)
2pi
33.
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
34.
Simplify.
a)
csc²θ
b)
sec²θ
c)
cscθ
d)
1
35.
Simplify.
a)
secθ
b)
cos²θ
c)
sin²θ
d)
sin²θ/cos²θ
36.
Who is this
a)
Samwise Gamgee
b)
Saruman
c)
Boromir
d)
Bilbo Baggins
e)
Donald Trump
37.
Who is this
a)
Bilbo Baggins
b)
Frodo Baggins
c)
Balrog
d)
Galadriel
e)
Me when I am hungry
38.
Who are they
a)
Isildur
b)
Elendil
c)
Nazgul
d)
Eomer
39.
What does he say
a)
"Give me discount!"
b)
"You may pass!"
c)
"You shall not pass!"
d)
"You, pass, shall not!"
e)
"I hate you demon!"
40.
Who is this:
a)
Han solo
b)
Greedo
c)
Luke skywalker
d)
DL-44
e)
Indiana Jones
41.
Who said,
“I am a Jedi, like my father before me.”
“I am a Jedi, like my father before me.”
a)
Anakin Skywalker
b)
Mace Windu
c)
Luke Skywalker
d)
Qui-Gon Jinn
42.
At the beginning of Episode IV: A New Hope, Princess Leia and her ship are carrying what?
a)
The secret plans to the Death Star
b)
Untaxed death sticks
c)
Escaped prisoners from the Empire
d)
The main council of Rebel Alliance
43.
How did Han Solo first acquire the Millennium Falcon?
a)
He won it in a card game
b)
He stole it from the Empire
c)
He salvaged a derelict
d)
He assembled it from scrap
e)
He bought it on e-Bay
44.
What do the avengers eat after they defeat loki and the Chitauri
a)
Shwarma
b)
P.F Changs
c)
Eagles
45.
Who is this?
a)
Hulk
b)
Thor
c)
Iron man
d)
Loki
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