MA1310
Exercise 3.1 Title: Trigonometric and Periodic Functions
1.
a.
b.
c.
Find the exact value of:
Sin 300 o = -3/2
Tan 405 o = 1
Cot (13/3) = 1/3
2. If sin o < 0 and tan o <, then in which quadrant does o lies?
The angle will lies in the 3rd quadrant
3
Sheila Smith
MA 1310
Dr. Hill
9-17-15
Module 1 discussion:
As I was going to St. Ives
I met a man with seven wives
Each wife had seven sacks
Each sack had seven cats
Each cat had seven kits [kittens]
Discuss the following questions:
1-Assuming that the sp
Kyle Mashburn
Math II Week 8
11/6/15
3. A line segment is a line that begins with a point and ends with a point.
5. If the magnitude as well as direction of two vectors are equal. Fro two equal vectors,
their directed line segments must be parallel.
13. V
Kyle Mashburn
Math II Week 9
11/16/15
1. An ellipse is the set of all points, P, in a plane the sum of whose distances from two
fixed points, F1 and F2, is constant. These two fixed points are called the foci. The
midpoint of the segment connecting the fo
Kyle Mashburn
Math II Week 4
10/09/15
1. A directed line segment is a portion of a line that has both a magnitude and direction.
2. Equal vectors are two vectors of the same length and parallel to each other are
considered to be identical.
3. v=p2-p1=13i+
Kyle Mashburn
Math 2
1/17/2016
1.) Find the exact value of:
A. Sin 300 o = -3/2
B. Tan 405 o = 1
C. Cot (13/3) = 1/3
2.) If sin o < 0 and tan o <, then in which quadrant does o lies?
A. The angle will lies in the 3 rd quadrant
3. Find the exact value of s
Kyle Mashburn
Math II
1/6/16
Week 3 Exercise 2
1.) A function whose value is a constant raised to the power of the argument, especially
the function where the constant is.
2.) The function defined by f (x) = ex is called the natural exponential function.
1) Solve the following exponential equation by expressing each side as a power of the same base
x
6 =216
and then equating exponents
,
x
6 =6
3
x=3
,
x
x
e =22.8 , ln e =ln 22.8 , x=ln 22.8
2) Solve the following exponential equation:
2
3) Solve the follo
MA1310 College Mathematics II
Kyle Mashburn
Week 2 9/25/15
1. Describe an arithmetic sequence in two sentences.
A sequence in which each term after the first differs from the preceding term by a constant
amount. The difference between consecutive terms is
1. Exponential functions: a function whose value is a constant raised to the power
of the argument, especially the function where the constant is e. f ( x )=b
x
2. Natural exponential function: In mathematics, the exponential function is the
function e, w
Shawn Mykisen
Troy Popiel
MA 1310 Wed 6pm
Homework: Exercise 2.1 page (13)
3
1. A. sin 60 = 2
B. 45
4 +
C.
cot
3
13
=cot
3
= 3
cot 0=
cot
3
1
tan
= Cot 60
2.
sin <0tan <0
3.
cos
=
4
5
y 3
sin = =
r
5
1
1
=
tan 60
1
3
=
3
4. A = Amplitude
2
B
Period
Troy Popiel
Shawn Mykisen
1. Describe an arithmetic sequence in two sentences.
a. An arithmetic sequence goes from one term to the next by always adding
(or subtracting) the same value. For instance, 2, 5, 8, 11, 14,. and 7, 3,
1, 5,. are arithmetic, sin
MA 1310
Exercise 4.2
1.Explain why
( r , )
and
o
represent the same points in polar coordinates.
( r , 180 )
(r,) and (-r , +180) are the same point because adding 180 tkes you to the exact opposite
side
of the unit circle , but the MINUS r brings you bac
MA1310
Exercise 3.2 Title: Other Trigonometric Functions
1. The graph of tangent function is given below. Find the equation of the graph in the form y
= A tan (Bx-C) : Y = tan ( X + /2)
A. Find A. The y-coordinate of the graph1/4 and of the way between th
MA1310
Exercise 4.1 Title: Laws of Sines and Cosines
1. Use the values given in the above triangle and find the value of B, b and c.
/_ B = 180 -97-48 = 35
B = 35
b= a / SinA = b /SinB = 12/Sin (48) = b / Sin (35)
c= a / SinA = c /SinC = 12/Sin (48) = c/S
Kyle Mashburn
Math II
1/6/16
Week 3 Exercise 2.1
1.) A function whose value is a constant raised to the power of the argument, especially
the function where the constant is.
2.) The function defined by f (x) = ex is called the natural exponential function
Exercise 5.2
1. An ellipse is defined by two points, each called a focus. If you take any point on the ellipse, the
sum of the distances to the focus points is constant.
2. The center is (0,0) and the major axis is vertical, so standard form is
(x^2)/b^2
Exercise 6.1
1. The binomial coefficient is the number of ways of picking unordered outcomes from possibilities,
also known as a combination or combinatorial number. The symbols and are used to denote a
binomial coefficient, and are sometimes read as "cho
Sheila Smith
MA 1310
Dr. Hill
10-8-15
Exercise 3.2 module 3
1- Y = tan ( X + /2)
a. (-/2, -1) and (/2, 1) so A = 1
b. The period is
c. The B = 1
d. Horizontal shift to the left because C is negative
C = -/2 Phase
C/B (-/2)/1 = -/2
e. . /2
f. i. y = tan (
Sheila Smith
MA 1310
Dr. Hill
9-16-15
1- Describe an arithmetic sequence in two sentences.
Arithmetic sequence is a sequence of numbers that has a constant difference
between every two consecutive terms.
In other words, arithmetic sequence is a sequence o
LAB 4.1
MA1310
Alexus Morman
1. /_ B = 180 -97-48 = 35
B = 35
b=
a / SinA = b /SinB = 12/Sin (48) = b / Sin (35)
b = 9.26
c= a / SinA = c /SinC = 12/Sin (48) = c/Sin (97)
c= 16.03
2. a/SinA = b/SinB = 7/Sin (70) =5/Sin (?)
B = 42.16
C = 180-70-42.16
C=67.
1. -.866
a. 1
b. .577
c. 3
2. Amplitude=
3. Period = how long till the graph repeats
4. Phase shift= where the graph shifts to
5. Amplitude= 3 Period= 1
6. A
7. Amplitude= 2 Period= 2 phase shift= 3/pi & 2+3/pi
1. period= pi, coefficient of x= 1, phase sh