Math 114
Section 2.6 Graphs of Sine & Cosine Functions
Section 001
A. Basic Sine and Cosine Graph Recall that both the sine and cosine functions are periodic; that is, every input value that is 2 radians apart, has the same output value. When we b
MTH 114-201, Summer 2011
Quiz 1
Instructor: Cheryl Balm
Score:
Name:
No calculators are permitted for this quiz.
Problem 1. [3+3=6 points]
Factor the following expressions completely.
(a) x2 3x 10
(b) 2x4 + 4x2 + 2
Problem 2. [6 points]
Simply the express
Math 114 Summer 2011
In Class Activity - Review for Exam II
Instructor: Cheryl Balm
Wednesday, July 27
Name:
1. For the following functions determine the amplitude, period, phase shift, domain,
range. Then graph at least one complete cycle of the function
MTH 114-201, Summer 2011
Exam II
Instructor: Cheryl Balm
1
Score:
Name:
You will be given 60 minutes to complete this exam.
No books or notes may be used during the exam.
Please show all work in the space provided for each problem and circle your nal a
Math 114 Summer 2011
Exam II Review Sheet
Instructor: Cheryl Balm
Note: These are sample topics and problems to help you study for Exam II.
This list is not meant to be exhaustive.
1. Know all basic trig identities, including those coming from the Pythago
Math 114 Summer 2011
Instructor: Cheryl Balm
In Class Activity - Review for Exam III
Wednesday, August 10
Name:
1. Find the solution set for each equation below on the interval [0, 2 ). Give the exact
solutions whenever possible.
3
sin =
2
3
cos(2) =
2
MTH 114-201, Summer 2011
Exam III
Instructor: Cheryl Balm
1
Score:
Name:
You will be given 60 minutes to complete this exam.
No books or notes may be used during the exam.
Please show all work in the space provided for each problem and circle your nal
Math 114 Summer 2011
Exam III Review Sheet
Instructor: Cheryl Balm
Note: These are sample topics and problems to help you study for Exam III.
This list is not meant to be exhaustive.
Items 1-4 refer to the labels in the triangle below.
c
b
A
B
C
a
1. A +
MTH 114-201, Summer 2011
Quiz 2
Instructor: Cheryl Balm
Score:
Name:
No calculators are permitted for this quiz.
Problem 1. [6+6=16 points]
Verify the following equations.
Remember to work with one side of the equation only and show all your work!
(a) 1
MTH 114-201, Summer 2011
Quiz 3
Instructor: Cheryl Balm
1
Score:
Name:
No calculators are permitted for this quiz.
Problem 1. [5 points]
Graph y = sec(2x) 1.
Be sure to clearly indicate your nal graph and include dotted lines indicating x-values which are
MTH 114-201, Summer 2011
Quiz 5
Instructor: Cheryl Balm
Score:
Name:
Problem 1. [9 points]
Solve cos(2) + 6 sin2 = 4 for 0 < 2 .
You must nd the exact solutions; no decimal approximations!
Problem 2. [7 points]
Find all possible sets of solutions for b, c
MATH 114 FALL 2014 EXAM #1 SAMPLE
DO NOT BEGIN THIS TEST UNTIL YOU ARE TOLD TO DO SO.
You will have 50 minutes from this time to finish the test.
1)
You will need a pencil or pen, one calculator and this exam paper. Please clear everything else
from your
Math 114 Summer 2011
Exam I Review Sheet
Instructor: Cheryl Balm
Note: These are sample topics and problems to help you study for Exam I.
This list is not meant to be exhaustive.
1. Be able to convert between degrees and radians and be able to convert bet
MTH 114-201, Summer 2011
Exam I
Instructor: Cheryl Balm
1
Score:
Name:
You will be given 60 minutes to complete this exam.
No books or notes may be used during the exam.
Please show all work in the space provided for each problem and circle your nal an
Math 114
Section 3.4 Sum & Difference Formulas
Section 2
A. Sum and Difference Formulas
cos sin
tan
cos cos sin sin sin cos cos sin tan tan 1 tan tan
Find the exact value of the trigonometric function. 1. sin
12
2. cos
5 12
3. tan
7 12
Math 114
3.8 Trig Equations (2)
Section 002
A. Solving Trig Equations in Quadratic Form Solve on the interval of 0 x 2 . 1. 2 sin 2 x sin x 1 0
ax 2
bx c
0
2. sec2 x 3sec x 2
0
3. 3 cos2 x 2
5 cos x
B. Solving a Trig Equation using Identit
Score: _/ 12
Math 114 Section 001
Homework 3 Due Wed. 10/1 by 9:20 am
Name: _ PID: _
Please show all work in the space provided. NO WORK = NO CREDIT! Please read each question carefully. No credit will be given for decimal approximations when an
Score: _/ 12
Math 114 Section 001
Homework 2 Due Fri. 9/24 by 9:20 am
Name: _ PID: _
Please show all work in the space provided. NO WORK = NO CREDIT Mark out any work you do not want graded. SHOW ALL STEPS and WORK DOWNWARD! For #1-6, match the e
Math 114
Special Problem Session I: Verifying Trigonometric Identities
Fall, 2008
State the following basic identities:
Pythagorean, Quotient, Reciprocal, Cofunction, Even/Odd
Verify the following identities. Work on ONE side ONLY. Write going D
Math 114
4.5 Simple Harmonic Motion
Section 001
A. Simple Harmonic Motion The motion of radio waves, television waves, light waves, and sound waves all can be described by simple harmonic motion.
An object that moves on a coordinate axis so that
Math 114 A. Basic Identities
Reciprocal Identities:
Section 3.3 Trig Identities
Section 001
1 csc 1 csc = sin sin =
Quotient Identities:
1 sec 1 sec = cos cos =
1 cot 1 cot = tan tan =
tan =
sin cos
cot =
cos sin
Pythagorean I
Math 114
Section 2.8 Phase Shift
Section 001
Translations of the sine and cosine graphs. y = A sin(x ) + B y = A cos(x ) + B
tells the phase shift (horizontal), < 0 gives a shift to the left &
> 0 gives a shift to the right
Steps for
Math 114
Section 2.7 Graphs of Tangent, Cotangent, Secant and Cosecant Functions
Section 001
A. Basic Tangent and Cotangent Graphs Recall that both the tangent and cotangent functions are periodic; that is, every input value that is radians apart
Math 114 Summer 2011
In Class Activity - Ch. 2 Review
Instructor: Cheryl Balm
Wednesday, July 13
Name:
1. Determine the exact values of the following trig functions:
tan
5
3
csc
7
4
sin
23
6
cos
11
2
sec(5 )
2. If the point (2, 3) is on the terminal
Math 114 Summer 2011
In Class Activity - Ch. 2 Review
Instructor: Cheryl Balm
Wednesday, July 13
Name:
1. Determine the exact values of the following trig functions:
tan
5
3
csc
7
4
sin
23
6
cos
11
2
sec(5 )
2. If the point (2, 3) is on the terminal
Math 114
Section 3.5 Double-angle & Half-angle Formulas
Section 2
A. Double-angle Formulas
sin 2 cos 2
2 sin cos cos2 1 2 sin 2 2 cos2 1 2 tan 1 tan 2 sin 2
tan 2
Find the exact values of the following trigonometric functions. 1. Given cos
3