EET 109 Math January 12, 2016 Week 2 Day 1

Home work format: Section number2.4 Problem number 14 Answer18.2 Show all your work.

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Chapter 1 Fundamental Concepts

Page 3 This is so fundamental it will be on almost all tests.

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

“Please excuse my Dear aunt Sally”

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

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 making a measurement. Precision The precision of a measurement refers to the smallest unit with which a measurement is made; 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. karat A 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

75.0 is 2 keystrokes on a calculator that do nothing but create an opportunity to make a data entry error. 75 Ω 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 3 Objectives 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

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 133 Note: 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 122 This is where much confusion comes from.

Page 122

Page Use in Fig 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

T he S oup is C old o a oh ah Tan = Op/Adj Sin = Op/Hyp Cos = Adj/Hyp

SOH CAH TOA Sin = Op/Hyp Cos = Adj/Hyp Tan = Op/Adj

The side opposite the angle.

The TAN of 30 degrees is.577 TAN = 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. All Programs Accessories Calculator

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End of week 2 day 1.