5-7: General Solutions to Trig. Equations
General Solution = a basic way to write an expression for all possible values (infinitely
many) without listing all values
EX 1: Solve for all q :
sin q =0.4199
Use the calculator. Graph y = sin(x) and y = 0.4199.
6.1: Vector Word Problems
1. A sled on an inclined plane weighs 500 lb, and the plane makes an angle of 50 degrees with the horizontal.
What force, perpendicular to the plane, is exerted on the plane by the sled?
2. If a force of 25 lb
Binomial distribution questions: formal word problems
For the following questions, write the information given in a formal way before solving the
problem, something like:
X = number of . . . out of 12, so
X B(12, 0.2).
Then P(X 3) = . . .
1. Thirty percen
REVIEW LIMITS Answers
In Exercises 1-6, use the graph to determine the following visually.
a. x c+ f ( x)
b. x c- f ( x)
c. x c f ( x)
1.) 1, 1, 1
2.) -2, -2, -2
3.) 0, 0, 0
4.) 2, 2, 2
5.) -3, 3, DNE
6.) 2, 0, DNE
In exercises 7-22, find the
5-4: The Law of Sines
A = ab sin C
SAS Area formula:
(Used when triangle is NOT a right triangle)
a and b are two sides of the triangle, and C is the included angle
*This works for finding the area of a triangle, and is especially helpful when the
5-2: The Law of Cosines
For any triangle ABC:
c 2 =a 2 +b 2 - 2ab cos C
EX 1: Find the missing side of the triangle:
EX 2: Find the missing angle of the triangle:
Final Review Packet
Factor each polynomial (if it is not already factored). State the zeros and circle them. Then graph the
Determine whether or not the functions are one-to-one.
8.3 Areas of Irregular Regions
To find the area of an irregular figure (ex: a lake)
1. Count the number of squares on the interior that are completely covered
I = inside squares
2. Count the number of partially covered boundary squares
B = boundary
ADC , BFD, ABE & CFE
Given: AC AB, AD AE
8.1 Perimeter Formulas Notes
Perimeter sum of the lengths of the sides of a polygon [sum = addition]
Lets look at specific figures we have already used in the past.
Perimeter has to do with side length
o What do we know about sides of a rectang