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Precalc Final Exam Review
Precalc Final Exam Review
40 terms
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Precalculus, trigonometry, unit circle, final exam
Flashcards
40 cards
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Practice quiz
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Questions
40
Answers
1
π/6 in degrees =
45˚
180˚
30˚
60ˆ
2
8 +4 + 2 + 1 + 0.5 is
a geometric series
a geometric sequence
an arithmetic sequence
an arithmetic series
3
Which expression is NOT equal to cos(90-x)sec x?
sin x sec x
cot x
tan x
cot (90-x)
4
Which graph is f(x) = cos(ø)?
red
neither
blue
5
Which point has polar coordinates (6, π/3)?
Blue point
Green point
None of these
Red point
6
Expand (x+y)
3
x3 + x2y + xy2 + y3
x3+y3
x3 + 3x2y + 3xy2 + y3
3x3+ 3y3
7
What is the domain of f(x) = 2sin(ø)
{all reals}
{-2 ≤ f(x) ≤ 2}
{all reals ≤ 2)
{-1 ≤ f(x) ≤ 1}
8
My favorite topic in Precalc was...
Logarithms and Exponentials
Trigonometry
Graphing functions
Sequences and Series
9
The amplitude of f(x) = -3(sin(4ø)) – 2
-3
-2
3
4
10
The midline of f(x) = 9(cos(5ø)) + 7
5
-7
9
7
11
Find the value of sin 34
o
16'
0.2868
0.5615
undefined
0.5630
12
What type of series is this?
neither
geometric
arithmetic
13
How many terms in this series?
10
7
8
6
14
If csc(ø) = (1/7), what is sin(ø)?
7
csc-1(ø)
0.1428
1 – (1/7)2
15
tan(ø) =
sin(ø)/cos(ø)
cot ø
1
sin2(ø) + cos2(ø)
16
The Polar point (1, 3π/2) has rectangular coordinates
(-1, 0)
(0, -1)
(0, 0)
(0, 1)
17
The point (4, 4) in Polar coordinates has angle ø =
π/4
π/6
π/2
π/3
18
Which point is NOT equivalent to the point (2, -10
o
)
(2, 350o)
(-2, -190o)
(-2, 10o)
(-2, 170o)
19
The sequence (5, 6, 8, 11, 15, 20, 26, ... } is
neither arithmetic nor geometric
an arithmetic sequence
an arithmetic series
a geometric sequence
20
sin(π) =
-1
-0.5
0
1
21
If all three sides are given in a triangle and you want to find an angle, use
Law of Cosines
Law of Sines
Pythagorean Theorem
Law of Tangents
22
For 0 ≤ x ≤ π, find the exact value of x = sin
-1
(1).
π/3
π/2
π/6
π/4
23
90˚ =
π/3 radians
π/2 radians
π radians
2π radians
24
cos(7π/4) =
-(√2)/2
(√2)/2
(√3)/2
-(√3)/2
25
Write the explicit formula for the sequence: 3, 6, 12, 24, 48, ...
an = 2(3)n-1
an = 3(3)n-1
an = 3(2)n-1
an = 3(2)n
26
sin(4π/3) =
1/2
(√3)/2
-(√3)/2
-1/2
27
cot 3.7
15.46
1.60
1.31
0.62
28
120˚ in radians =
(4/3)π
(3/4)π
(1/2)π
(2/3)π
29
Find the arc length of a circle of radius 2 inches intercepted by a central angle of 115°.
230 inches
23π/36 inches
115 inches
23π/18 inches
30
The period of f(x) = 3(cos(2ø)) + 5
2π
π
2
5
31
Find the value of csc 34
o
16'
1.210
1.776
3.487
undefined
32
A point on any circle has x-coordinate
rcos(ø)
sin(ø)
rsin(ø)
1
33
Find the sum of the infinite series 2 + 1/2 + 1/8 + ...
2.666...
2.5
2.58
impossible to find
34
What type of series is this?
geometric
arithmetic
neither
35
If a machine depreciates by 10% per year, the ratio between terms is...
0.90
0.99
0.10
1.10
36
If given 2 angles and an opp. side, use ___ to find a missing side length in a triangle.
Law of Cosines
Law of Tangents
Pythagorean Theorem
Law of Sines
37
Name the quadrant in which the angle θ lies if cos θ > 0 and sin θ < 0.
IV
II
I
III
38
Expand the sum.
5 + 8 + 11 + 14 + 17 + 20 + 23 + 26 + 29 + 32
2 + 5 + 8 + 11 + 14 + 17 + 20
5 + 8 + 11 + 14 + 17 + 20 + 23
11 + 14 + 17 + 20 + 23 + 26 + 29 + 32
39
Find the sum.
40
112
120
168
40
cos(π/2) =
0
0.5
(√3)/2
1
