Download MATH 1113 - Clayton State University

MATH 1112A
Test 1 Study Guide
Test 1 is closed book and closed notes. You may use Graph or a graphing calculator.
Report all answers as exact values unless otherwise stated. Show all work for credit.
Part 1: Trigonometric Functions
Find the values of the six trigonometric functions given angle θ and the terminating
quadrant of θ.
sin   
3
in Quadrant III.
5
sec  5 in Quadrant IV
Part 2: Angles
State in which quadrant the terminal side of the angle lies.
Find the measure of one positive angle that is coterminal with the angle.
Find the measure of one negative angle that is coterminal with the angle
Find the reference angle.
Find the complement of the angle.
8
radians
3
400°
Part 3: Graphs of Trig Functions:
For each of the functions, identify the: amplitude (always positive),
frequency/period, phase shift/horizontal shift, and mean/balance point/vertical shift.
Also, be able to match each function with its graph.
Examples:
1

y  2 cos( x  )  2
2
4
y  3sin 2 x
Part 4: Multiple Choice
If sin  > 0 and sec < 0, in which quadrant does the terminal side of the angle lie?
a) I
b) II
c) III
d) IV
Expressed as a function of a positive acute angle, sin (-230°) is equal to:
a) sin (50°)
b) -sin (50°)
c) cos (50°)
d) -cos (50°)
In the accompanying diagram of a unit
3 1
, )
circle, the ordered pair (
2
2
represents the point where the terminal
side of θ intersects the unit circle.
What is the m ?
a) 210°
c) 233°
b) 225°
d) 240°
The path traveled by a roller coaster is modeled by the equation:
y  27sin(13 x)  30 . What is the maximum altitude of the roller coaster? (hint:
altitude is not the same as amplitude, but it is related.
a) 13
b) 27
c) 30
d) 57
If θ is an angle in standard position and P(-3,4) is a point on the terminal side of θ,
what is the value of sin θ?
a)
3
5
b) 
3
5
c)
4
5
d) 
4
5
In physics class, Eva noticed the
pattern shown in the
accompanying diagram on an
oscilloscope. Which equation
best represents the pattern
shown on the oscilloscope?
b)
1
y  sin( x)  1
2
y  2sin x  1
c)
y  sin x  1
d)
1
y  2sin(  x)  1
2
a)
What is the radian measure of the angle formed by the hands of a clock at 2:00pm




a)
b)
c)
d)
2
3
4
6