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EET 109 Math April 11, 2016 Week 2 Day 1
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Home work format: Section number2.4 Problem number 14 Answer18.2 Show all your work.
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Save your homework and build a study guide. Get to know your classmates, work with them. Get a tutor.
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Graded and Recorded 10/10 8/10 Score Scored and recorded. Week 1 homework 2 scores. Chapter 1 25/25 Appendix B 19/19
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Chapter 1 Review Fundamental Concepts
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Page 3 This is so fundamental it will be on almost all tests.
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+2 -8 -3 -12 -9 -15
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(+3) + (+6) + (-9) + (+6)
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Compound Fraction
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“Please excuse my Dear aunt Sally”
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Section 1.3 m integers are the counting numbers; that is, 1, 2, 3,
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ENGINEERING NOTATION All powers of ten must be 0 or multiples of 3
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Section 1.3 “Laws”
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1.2 ZERO AND ORDER OF OPERATIONS
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End of Week 1 day 2
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1.5 OPERATIONS WITH MEASUREMENTS
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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).
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Chapter 1 Fundamental Concepts
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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.
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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.
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1.12 SUBSTITUTION OF DATA INTO FORMULAS Page 45 Be careful about reversing numbers 1 and 2.
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1.12 SUBSTITUTION OF DATA INTO FORMULAS Page 46
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1.11 Page 43
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Ohm’s Law Three units three variations. Multiplication and division.
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Exercises 1.12 page 48 number 13
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75.0 and 60.0 are 2 keystrokes on a calculator that do nothing but create an opportunity to make a data entry error. Ω is just a unit and is not needed for calculations. Hz is just a unit and is not needed for calculations.
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Chapter 3 Right-Triangle Trigonometry
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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.
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A right triangle has: one right angle, two acute angles, And a hypotenuse. A right angle is an angle of 90° An acute angle is an angle whose measure is less than 90°.
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Page 115 Angles can be measured using any of four units of measure: revolutions degrees radians minutes/seconds
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Page 115 What is the formula using, what is your calculator set for? revolutions degrees radians minutes/seconds
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Revolutions RPM The side originates at the center, it is a line.
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Degrees 360 degrees = 1 revolution
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One degree of latitude equals approximately 364,000 ft (69 miles). One-degree of longitude equals 288,200 ft (54.6 miles).
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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
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The one radian is just under 57.3 degrees.
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Where is the triangle?
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A, B, C are angles. a, b, c are sides.
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The Pythagorean theorem gives the relationship among the sides of a right triangle.
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Pythagorean Theorem page 118
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Solve for a and b
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Page 119 The 6 trigonometric ratios express the relationship between and acute angle of a right triangle and the length of 2 sides.
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Page 119 Trigonometric ratios express the relationship between an angle and the length of 2 sides.
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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.
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Page 122 The corresponding pairs of reciprocals are called reciprocal trigonometric functions.
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Page 122 This is where much confusion comes from.
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Page 122-123 Use in Fig. 3.13 for Exercises 29 through 60.
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T he S oup is C old o a oh ah Tan = Op/Adj Sin = Op/Hyp Cos = Adj/Hyp
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SOH CAH TOA Sin = Op/Hyp Cos = Adj/Hyp Tan = Op/Adj
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The side opposite the angle.
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The TAN of 30 degrees is.577 TAN = Opposite / Adjacent Opposite / Adjacent 30 degrees
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Know your calculator.
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Homework Exercise 3.2
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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,
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Once the value of one acute angle is known, we can find the value of the other. C always = 90 degrees so:
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For Trigonometry you will need a calculator. All Programs Accessories Calculator
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View Scientific
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End of week 2 day 1.
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