WorksheetsSechrist Trig Final Exam Study Guide
Total questions: 75
Worksheet time: 3hrs 40mins
Name
Class
Date
1.
sin π/4
a)
√2∕2
b)
1/2
c)
√3/2
d)
0
2.
cos 5π/6
a)
-1/2
b)
1/2
c)
√3/2
d)
-√3/2
3.
tan 7π/4
a)
-1
b)
1
c)
√2/2
d)
undefined
4.
cos 4π/3
a)
-√3/2
b)
√3/2
c)
1/2
d)
-1/2
5.
sin 7π/6
a)
1/2
b)
-1/2
c)
√3/2
d)
-√3/2
6.
sin 2π/3
a)
1/2
b)
-1/2
c)
√3/2
d)
-√3/2
7.
The unit circle...
a)
Has center at (1,1)
b)
Has a circumference of 1
c)
Has a diameter of 1
d)
Has a radius of 1
8.
The hypotenuse of any right triangle from the center of the unit circle to an edge is always
a)
1
b)
sqt2/2
c)
sqt3/2
d)
1/2
9.
Based on your unit circle sin(30o)=
a)
sqt2/2
b)
1/2
c)
1
d)
sqt3/2
10.
For what angles are sine and cosine the same?
a)
0o
b)
45o and 1350
c)
45o and 2250
d)
45o and 3150
11.
Find a coterminal angle to 5 degrees.
a)
365
b)
255
c)
-220
d)
-365
12.
Find a coterminal angle to 45 degrees.
a)
360
b)
405
c)
315
d)
295
13.
Find a coterminal angle to 20 degrees.
a)
740
b)
690
c)
760
d)
320
14.
Find a coterminal angle to -180 degrees.
a)
180
b)
90
c)
270
d)
360
15.
Find an angle coterminal with an angle which measures 11π ∕ 3.
a)
17 π / 3
b)
4π ∕ 3
c)
π ∕ 3
d)
8π ∕ 3
16.
In which quadrant would you find an angle measuring
-13π / 5
a)
1
b)
2
c)
3
d)
4
17.
Find an angle coterminal with an angle measuring 17π / 4 radians.
a)
π ∕ 3
b)
5π ∕ 4
c)
π ∕ 4
d)
13π ∕ 4
18.
What is the reference angle for 30 degrees?
a)
70 degrees
b)
30 degrees
c)
150 degrees
d)
330 degrees
19.
What is the reference angle for 125 degrees?
a)
235 degrees
b)
125 degrees
c)
75 degrees
d)
55 degrees
20.
What is the reference angle for -30 degrees?
a)
150 degrees
b)
30 degrees
c)
80 degrees
d)
60 degrees
21.
What is the reference angle for 275 degrees?
a)
85 degrees
b)
95 degrees
c)
-85 degrees
d)
-95 degrees
22.
Find the reference angle for an angle measuring -310⁰
a)
50⁰
b)
-50⁰
c)
20⁰
d)
40⁰
23.
What is the reference angle for 500o?
a)
40
b)
-40
c)
50
d)
-50
24.
In which quadrant would you find an angle measuring -740°
a)
1
b)
2
c)
3
d)
4
25.
Write in exponential form:
log 2 32 = 5
log 2 32 = 5
a)
25 = 32
b)
52 = 32
c)
532 = 2
d)
232 = 5
26.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
27.
What is the base of log(x) = 100?
a)
1
b)
x
c)
100
d)
10
28.
Expand
a)
log8x+log8y+log8z
b)
5log8x+5log8y+5log8z
c)
log8xy+5log8z
d)
log8x+log8y+5log8z
29.
Condense
a)
log8(x6)/log8(y3)
b)
log8(x6/y3)
c)
log8(x/y3)
d)
log8(x6y3)
30.
Solve for x:
a)
1
b)
2
c)
.5
d)
4
31.
Expand
a)
6log8v-2log8u
b)
6log8u-2log8v
c)
3log8u-2log8v
d)
6log8u+2log8v
32.
Solve
a)
A
b)
B
c)
C
d)
D
33.
Rewrite in exponential form.
a)
A
b)
B
c)
C
d)
D
34.
Write in exponential form:
log 2 32 = 5
log 2 32 = 5
a)
25 = 32
b)
52 = 32
c)
532 = 2
d)
232 = 5
35.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
36.
Evaluate: log91
a)
8
b)
0
c)
1
d)
9
37.
Evaluate
log6 (1/6)
log6 (1/6)
a)
- 1/6
b)
1/6
c)
-1
d)
1
38.
Write as one logarithm. Simplify, if possible.
log39 + log327
log39 + log327
a)
-1
b)
5
c)
4
d)
1
39.
Write as one logarithm. Simplify, if possible.
log5125 - log525
log5125 - log525
a)
1
b)
0
c)
5
d)
-1
40.
Solve the following equation for x. Round your solution to two decimal places.
ln3x + ln2x = 3
ln3x + ln2x = 3
a)
x = 12.91
b)
x = 4.02
c)
x = 3.35
d)
x = 1.83
41.
What is the value of ln(e7)
a)
2.718...
b)
1
c)
7
d)
Does not exist
42.
Rewrite in exponential form:
ln(2) = x
ln(2) = x
a)
2x = 10
b)
102 = x
c)
ex = 2
d)
e2 = x
43.
Solve for x:
ln(x)=2
a)
2.234
b)
3.14
c)
7.389
d)
2
44.
Expand ln xy2z3
a)
6(lnx + lny - lnz)
b)
lnx + 2lny - 3lnz
c)
lnx + (1/2)lny + (1/3)lnz
d)
lnx + 2lny + 3lnz
45.
Factor:
18b2-9b3
18b2-9b3
a)
9b2(18-9b)
b)
9b2(2-b)
c)
9b2(18-9b2)
d)
b2(2-b2)
46.
Factor:
24c5 - 12c3
24c5 - 12c3
a)
6(4c5 - 2c3)
b)
12c3(2c2)
c)
12c3(2c2 - 1)
d)
12c3(2c2 - 0)
47.
Factor:
5x3-7x2
5x3-7x2
a)
x2(5x-7)
b)
x(5x2-7x)
c)
x3(5-7x)
d)
Prime
48.
Factor: x2 – 5x – 24
a)
(x - 5)(x + 19)
b)
(x - 8)(x + 3)
c)
(x - 3)(x + 8)
d)
(x - 19)(x + 5)
49.
Factor: x2 + 2x – 3
a)
(x - 2)(x + 1)
b)
(x + 1)(x - 3)
c)
(x + 2)(x - 1)
d)
(x - 1)(x + 3)
50.
Factor
n2-13n+40
n2-13n+40
a)
(n-5)(n-8)
b)
(n+5)(n-8)
c)
(n-5)(n+8)
d)
(n+6)(n+1)
51.
Factor completely:
3x² - 7x + 2
3x² - 7x + 2
a)
(x - 1) (3x + 2)
b)
(x - 2) (3x -1)
c)
(x - 1) (3x - 2)
d)
(x + 2) (3x + 1)
52.
Factor Completely:
2x² + x - 6
2x² + x - 6
a)
(x + 2) (2x -3)
b)
(x - 6) (2x + 1)
c)
(x + 1) (2x - 6)
d)
(x - 2) (2x + 3)
53.
Factor Completely:
4x² - 20x + 25
4x² - 20x + 25
a)
(4x - 25) (x -1)
b)
(2x + 5) (2x - 5)
c)
(2x - 5)²
d)
(4x - 5) (x - 5)
54.
Factor
9x2-6x-8
9x2-6x-8
a)
(3x+2)(3x-4)
b)
(3x+2)(3x+4)
c)
(3x-2)(3x-4)
d)
(x-1)(9x+8)
55.
log2(x + 5) = 3
a)
3
b)
4
c)
5
d)
6
56.
log (x) + log (x) = log (25)
a)
-5, 5
b)
5
c)
-5
d)
25
57.
4(x-2)= 64(x+1)
a)
-2/5
b)
-5/2
c)
7/2
d)
2/7
58.
42x+2 = 1
a)
-1
b)
0
c)
-2
d)
2
59.
23n = 4
a)
2
b)
3
c)
2/3
d)
4
60.
53-2n = 125
a)
0
b)
5
c)
1
d)
5/3
61.
Simplify 8log8x
a)
0
b)
1
c)
x
d)
8
62.
Simplify eln(x)
a)
0
b)
1
c)
x
d)
8
63.
A log with a base of e
a)
common logarithm
b)
evergreen tree log
c)
logarithm
d)
natural logarithm
64.
What is the horizontal asymptote to this function?
a)
x=4
b)
y=0
c)
none
d)
y=4
65.
Find the horizontal asymptote.
a)
y = -2
b)
none
c)
y = 0
d)
y = 1/2
66.
a)
y = 0
b)
y = 1/2
c)
y = 2
d)
None
67.
Which statement about the graph is true
a)
Horizontal Asymptote at y=0
b)
No Horizontal Asymptote, Slant Asymptote instead
c)
No Horizontal Asymptote, Oblique Asymptote instead
d)
Horizontal Asymptote at y=1
68.
What do you know about the oblique asymptotes of this function?
a)
It does not have an oblique asymptote.
b)
It has an oblique asymptote; you would use BOBO BOSCO BOTNO to find the oblique asymptote.
c)
It has an oblique asymptote; you would find it by using long division to divide the numerator by the denomenator.
d)
It has an oblique asymptote; you would find it by finding the values of x that make the denomenator zero.
69.
Which of these is NOT an asymptote on this graph?
a)
x=-3
b)
x=3
c)
y=2
d)
y=-3
70.
Name any holes of the function.
a)
x=0
b)
none
c)
x=3
d)
x=-3
71.
Find the hole(s).
a)
None
b)
x = -4
c)
x = 4
d)
x = 1/2
72.
Determine the x-intercept(s) of this graph?
a)
(-2,0) and (2,0)
b)
(-2,0)
c)
(3,0)
d)
(2,0) and (3,0)
73.
What is the Y-Intercept?
a)
None
b)
(0, 0)
c)
(0, 1)
d)
(0, 5/4)
74.
What is/are the Vertical Asymptote(s)?
a)
x= -4
b)
x= -4,5
c)
x= -5,5
d)
x= 4
75.
Find the vertical asymptote(s).
a)
None
b)
x = 0
c)
x= 4
d)
x = -4, 4
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