Pre-Ap Pre-Calculus 1st Semester Exam Review With Answers - Varsity Math, Coach G - 2015
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13Pre-AP Pre-Calculus
st
1
Semester Exam Review
Show all necessary work on your own paper. These problems are NON-Calculator!
A
B
NGLE
ASICS
1.
Draw the angle 8/3. Find two coterminal angles—1 positive, 1 negative. What is
its reference angle?
2.
Convert 140 into radians.
3.
Convert 2/9 into degrees.
= 325°, find
4.
ref
5.
Which trig functions are positive in Q IV? Which trig functions are positive in Q II?
sec = 5/2 and terminates in Q IV. Find csc .
6.
cos = 1/3 and terminates in Q I. Find cot .
7.
Find the coterminal angle of 140, where 360 720.
8.
9.
Find sec (-7/3).
10.
Find cot (13/6).
Point P is (-7, -4) and is on the terminal side of . Make of sketch of , ´, and the
11.
reference triangle. Find the exact (fraction) ratios of the six trig functions.
T
G
A
S
M
RIG
RAPHS
ND
INUSOIDAL
ODELS
12.
Determine whether the function is even, odd, or neither.
3
2
– 4
a) f(x) = x
b) g(x) = x
c) y = sin x
d) y = cos x
13.
Sketch a graph and list all transformations of y = 2 + 3 cos (
x
).
3
1
14.
Sketch a graph and list all transformations: f(x) = 3 + 2 sin
(
x
)
.
3
15.
Write an equation for each graph shown below:
a)
b)
y
y
4
200
100
2
x
0
-100
x
0
-200
16.
A mass suspended from a spring is pulled down a distance of 5 ft from its rest position.
The spring is released at time 0. The period is 1/9 cycle per hour. Sketch a graph and
write the equation that models the situation.
CALCULATOR – Round all answers to 0.001.
17.
Solve the following using algebraic methods.
a) Find f(x) for the given value.
b) Find the general solutions and the first 3 positive values of x for the given value of f(x)
f(x) = 3 + 2 sin
x
5
4
a) Find f(9)
b) f(x) = 3.5
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