6.02b Precalculus-
Assessment
The law of sines
When it comes to the law of sines there are two cases in which we would use these laws. In the
first case we would use the law of sines when there is a triangle (specifically oblique) with two
angles and any
7.04 Precalculus-
Use mathematical induction to prove the statement is true for all positive integers
n, or show why it is false.
(4 points each.)
1. 4 6 + 5 7 + 6 8 + . + 4n( 4n + 2) = 4(4n+1)(8n +7)/6
Prove that n=1 is equal to the first term 4.
4(4(1)
7_07 Precalculus:
1. Go to the Discussion Area, read all the tips that have been posted in the "Module
7 Tip of the Day" Discussion/Group folder.
2. Find your favorite tip from another student and reply to that student's post.
3. Help your fellow students
7.04 Mathematical Induction
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Section
07.01
07.02
07.03
07.04
07.05
Topic
To Do
Anticipated
Completion Date
Arithmetic Sequences
Lesson (Section
9.4 of your text),
Practice
Problem,
Submitted
Assignment
5/21
Geometric Sequences
Lesson (Section
9.4 of your text),
Practice
Problem,
Subm
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Module 1 Practice Test:
1. Which set of ordered pairs represent a function from A to B? Explain.
A cfw_a, b, c and B= cfw_0,1,2,3
a) cfw_(a,1),(c,2),(c,3),(b,3)
b) cfw_(a,1), (b,2),(c,3)
2. Evaluate the function at the specified values of the independent
Module 4 Practice Test
1. Express the angle in degree measure. (Do not use a calculator)
7
11
a)
b)
3
30
2. Evaluate (if possible) the six trignometric functions of the real number.
4
t
3
3. Evaluate the trignometric functionsby memory or by constructing
Chapter 5 Practice Test
f ( x )=tan 2 xtan 2 x sin 2 x
sec 2 x
2) Verify the identity:
=secxcscx
tan x
1)
Simplify:
3) Find all solutions of the equation in the interval [0,2)
3
cos x=cosx
4) Find the exact value of the sin75 using the sum or difference f
Module 6 Practice Test
1. Use the given information to solve the triangle.
C 135, c 45, B 10
2. A 10-meter telephone pole casts a 17-meter shadow directly down a slope when the angle of elevation of the
sun is 42.
Find the , the angle of elevation of the
Module 9 Practice Test
FLVS Pre-Calculus
an =
2n
( n+ 2 ) !
1.
Write the first five terms of the sequence
(assume that n starts with 1)
2.
Write the first five terms for the recursively defined sequence
a1=2,a n=n an1 , for n>1
6
3.
Evaluate
4.
Find
an
(
Module 10 Practice Test
FLVS Pre-Calculus
3.
Identify the conic: y 212 y8 x+ 20=0
Determine the center of the conic: 16 x2 + y 232 x +4 y 12=0
What is the equation of the axis of symmetry of the parabola whose equation is
4.
What is the length of the majo