eet 109 math january 12, 2016 week 2 day 1. home work format: section number2.4 problem number 14...
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Save your homework and build a study guide. Get to know your classmates, work with them. Get a tutor. Answers to odd-numbered questions are in the book. NOT the solutions.TRANSCRIPT
EET 109 MathJanuary 12, 2016
Week 2 Day 1
Home work format:Section number 2.4
Problem number 14
Answer 18.2
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Chapter 1
Fundamental Concepts
Page 3This is so fundamental it will be on almost all tests.
+2 -1
-8 -3
-12 -9
-15
Both !
(+3) + (+6) + (-9) + (+6)
Not in the textbook
For your own use organize multiplication and division, positive and negative as it makes sense to you. Words or symbols.
Compound Fraction
Section 1.3
m integers are the counting numbers; that is, 1, 2, 3,
Section 1.3
ENGINEERING NOTATION
All powers of ten must be 0 or multiples of 3
26 200 26.2 x K 26.2 K
Section 1.3
“Laws”
1.2 ZERO AND ORDER OF OPERATIONS
Accuracy The accuracy of a measurement refers to the number of digits, called significant digits,which indicate the number of units we are reasonably sure of having counted when makinga measurement.PrecisionThe precision of a measurement refers to the smallest unit with which a measurement ismade; that is, the position of the last significant digit.
End of Week 1 day 2
1.5 OPERATIONS WITH MEASUREMENTS
Carat versus Karat
carat: a unit for measuring the weight of jewels (such as diamonds) that is equal to 200 mg.
karatA unit of weight equal to 200 mg (3.1 grains). Also used as a measure of gold purity (per 24 parts gold alloy).
Chapter 1
Fundamental Concepts
1.11 FORMULAS page 40
A formula is an equation, usually expressed in letters, that shows the
relationship between quantities.The letter being something we are interested in.
$ I got = $ I earned - $ I spent.
1.11 FORMULAS page 42
Solving a formula means to isolate a given letter on one side of the equal sign.
We solve formulas using the same principles used solving equations.
1.12 SUBSTITUTION OF DATA INTO FORMULAS Page 45
Be careful about reversing numbers 1 and 2.
1.12 SUBSTITUTION OF DATA INTO FORMULAS Page 46
1.11 Page 43
Ohm’s Law
Three units three variations.Multiplication and division.
Exercises 1.12 page 48 number 13
Exercises 1.12 page 48 number 13
75.0 is 2 keystrokes on a calculator that do nothing but create an opportunity to make a data entry error.
75Ω is just a unit and is not needed for calculations.
Hz is just a unit and is not needed for calculations.
Chapter 3
Right-Triangle Trigonometry
Jump to Chapter 3Objectives Understand the degree/minute/second and radian measures of an angle. Know the Pythagorean theorem. Know the ratio definitions of the trigonometric functions. Know the values of the trigonometric functions for key angles. Use a calculator to evaluate trigonometric functions. Solve right triangles.
You have to know the triangle first.
A right triangle has one right angle, two acute angles, a hypotenuse.
A right angle is an angle of 90°An acute angle is an angle whose measure is less than 90°.
Page 115
Angles can be measured using any of four units of measure:
revolutions degrees
radians minutes/seconds
Revolutions RPM
The side originates at the center, it is a line.
This will correspond later to ordered pairs and
Degrees 360 degrees = 1 revolution
A minute in trigonometry is 1/60 of a degree.
The symbol is used to ’ denote minutes.
A second is defined to be1/60 of a minute. The symbol
” is used to denote seconds.
1 Minute = 60 Seconds
1 Degree = 60 minutes
Latitude
The one radian is just under 57.3 degrees.
Where are the triangle?
A, B, C are angles.a, b, c are sides.
The Pythagorean theorem gives the relationship
among the sides of a right triangle.
Pythagorean Theorem page 118
Page 119
The 6 trigonometric ratios express the relationship between and acute angle of a right triangle and the length of 2 sides.
Page 119
Trigonometric ratios express the relationship between an angle and the length of 2 sides.
Page 133Note: While all six trigonometric rations may be used to solve a right triangle, we will usually choose sine, cosine, and tangent because these buttons appear on calculators.
Page 122
The corresponding pairs of reciprocals are called reciprocal trigonometric functions.
Page 122This is where much confusion comes from.
Page 122
Page 122-123
Use in Fig. 3.13 for Exercises 29 through 60.
In class Exercises The hypotenuse is ____. The side adjacent to angle B is ____. The angle opposite side b is ____. The angle adjacent to side a is ____.
Exercises 3.1 Page 123
Find the length of the third side of each right triangle, rounded to three significant digits.
46. a 105 m, c 537 m
48. b 155 mi, c 208 mi
The Soup is Cold o a oh ah
Tan = Op/AdjSin = Op/HypCos = Adj/Hyp
SOH CAH TOA
Sin = Op/HypCos = Adj/HypTan = Op/Adj
The side opposite the angle.
The side opposite the angle.
The TAN of 30 degrees is .577TAN = Opposite / Adjacent Opposite / Adjacent
Opposite / Adjacent
30 degrees
A right triangle has one right angle, two acute angles, a hypotenuse.A right angle is an angle of 90°
The two acute angles of a right triangle are complementary. That is,
Once the value of one acute angle is known, we can find the value of the other.C always = 90 degrees so:
For Trigonometry you will need a calculator.
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End of week 2 day 1.