MA1310: Module 2 Trigonometric, Exponential, and Log Functions
Discussion 2.1
The Best Method to Solve Functions
The purpose of this assessment is to help you determine whether you have a clear understanding of
methods to solve problems on functions.
Choo
MA1310: Module 2 Trigonometric, Exponential, And Log Functions
Lab 2.1
Basics Of Trigonometry
1
MA1310: Module 2 Trigonometric, Exponential, And Log Functions
Lab 2.1
Basics Of Trigonometry
Signs of Trigonometric Functions
y
Quadrant II
Sine and
cosecant
MA1310: Module 2 Trigonometric, Exponential, and Log Functions
Lab 2.1
Angles of Trigonometric Functions and Graphs of Sine and Cosine
The purpose of this assessment is to help you determine whether you have a clear understanding of
trigonometric function
MA1310: Module 3 Graphs of Other Trigonometric Functions
Discussion 3.1
Experience of Solving Problems on Graphs of Trigonometric Functions
The purpose of this assessment is to help you determine whether you have a clear understanding of graphs
of trigono
The amplitude of the basic sinusoidal curve is
deﬁned as half the difference between the
maximum and minimum values of the function.
Given the general equation of a sine function,
y = A sin {Bx — C).
The amplitude is IAI.
Also, multiplying the function wi
Let’s now look at how to draw a graph of variation of y = cos x. HowI will you graph the function y = Z
First, we obtain the amplitude, period,
and phase shift ofthe fundjun, and men
we draw it.
Amplilnde = I3| = 3
. 21? 29?
Period: —=—=2
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1. An arithmetic sequence is a series of numbers with a common and constant rate of change.
This type of sequence will form a linear change.
2. A sequence of numbers where each term after the first is multiplied by a fixed number that
3.
4.
5.
6.
7.
8.
is
1.
2.
3.
4.
A function whose value is constantly raised to the power of an argument.
The function where e is a natural base written as f(x)=e^x
4^-1.5 = .125
S=C(1+r)^t
S = 510,000 ( 1+.03)^5
S = 510,000 (1.035) S = 519,229.78
5. 6 = log2 64 2^6=64
6. 8y=
1. An ellipse is a line that forms an enclosed loop which has 2 points called a focus. The distance
from the foci to every point on the line are the same.
2. Vertex (0,9) (0,-9) a =4 b =9 Foci would be (0,sqrt(65) and (0,-sqrt(65)
3. B
4. A= 25 b = 20
( x
1.
Find the exact value
a. Sin 300 = -0.866
b. Tan 405 = 1
c. Cot (13pi/3)= (sqrt3)/3
2. With the sin and tan both being positive the theta must like in the 4 th quadrant
3. a^2 + 4^2 = 5^2
a =3 sin theta = -3/5
4. Define the following terms
a. Amplitude
1. These represent the same point because adding 180 degrees to an angle and replacing r with r
2.
3.
4.
5.
6.
7.
8.
9.
doesnt change the points location.
The point would be at A
Polar point of (-5, 5pi/2) (0,-5)
r = sqrt (-4^2 4^2) sqrt(-32)
theta = tan^
1.
2.
3.
4.
5.
6.
A directed line segment is a portion of a line that has both a magnitude and direction.
Equal vectors are vectors that both have equal magnitude and directions.
V =( 2+11)I + (5+12)j v = 13i + 17j
8i 5i = 3i
-6j + 8j=2j v= 3i+2j
-12j/12
1.
Define binomial coefficient. Give an example. Write the steps of a graphing utility to evaluate
your binomial coefficient and the final answer.
Binomial Coefficient Any one of the coefficients of the variables in an expanded binomial
series.
Example: 7