1. EET 109 Math January 14, 2016 Week 2 Day 2

2. Chapter 1 Fundamental Concepts

7. 1.2 ZERO AND ORDER OF OPERATIONS

9. 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, not with a calculator.

10. 1.12 SUBSTITUTION OF DATA INTO FORMULAS Page 45 Be careful about reversing numbers 1 and 2.

11. Exercises 1.12 page 48 number 13

12. The unit for L is not given and so is not part of the answer. Inductance is measured in units called henrys. One henry is the amount of inductance necessary to induce one volt when the current in coil changes at a rate of one ampere per second.

13. Exercises 1.12 page 48 number 13

14. 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.

15. Rounding 456.8923476 123.782965 x 543.78933 30,754, 271.72 456.9 123.8 x 543.8 30,759,622

16. Rounding 456.8923476 123.782965 x 543.78933 30,754, 271.7230.75 M somethings 456.9 123.8 x 543.8 30,759,62230.76 M somethings

17. Rounding 456.8923476 123.782965 x 543.78933 30.8E6 456.9 123.8 x 543.8 30.8E6

18. 1.11 FORMULAS page 42 To solve a formula for a given letter means to isolate the given letter on one side of the equation and express it in terms of all the remaining letters

19. In class proof and white board exercise.

20. Chapter 3 Right-Triangle Trigonometry

21. A right triangle has one right angle and two acute angles. A right angle is an angle of 90° An acute angle is an angle whose measure is less than 90°.

22. The two acute angles of a right triangle are complementary. That is: Solve for A. Solve for B.

23. Once the value of one acute angle is known, we can find the value of the other.

24. Page 115 Angles can be measured using any of four units of measure: revolutions degrees radians minutes/seconds

25. Degrees 360 degrees = 1 revolution

26. 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

27. Latitude

28. At 38 degrees North latitude, one degree of latitude equals approximately 69 miles, one minute equals 1.15 miles one-second equals 101 ft

29. The one radian is just under 57.3 degrees.

31. 2 π radians is a complete circle (one complete revolution).

32. π = 3.14 3.14/180 =.01745 180/3.14 = 57.295

33. Where are the triangle?

34. Graphing Sine page 421 Sine = Op/Hyp

35. http://www.st-andrews.ac.uk/~www_pa/Scots_Guide/info/signals/complex/cmplx.html

36. 3.2 VALUES OF THE TRIGONOMETRIC RATIOS page 124 An equilateral triangle is a triangle in which all three sides are equal.

37. A, B, C are angles. a, b, c are sides.

38. The Pythagorean theorem gives the relationship among the sides of a right triangle.

39. Pythagorean Theorem page 118

40. 3.1 THE TRIGONOMETRIC RATIOS page 118 Know the Pythagorean Theorem: Why Doug?

41. 3.1 THE TRIGONOMETRIC RATIOS page 118

43. Page 119 The 6 trigonometric ratios express the relationship between an acute angle of a right triangle and the length of 2 sides.

44. Page 119 Trigonometric ratios express the relationship between an acute angle and the length of 2 sides.

45. Page 122

46. 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.

47. 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

48. The side opposite the angle.

50. Page 122 The corresponding pairs of reciprocals are called reciprocal trigonometric functions.

51. Know your calculator.

53. The TAN of 30 degrees is.577 TAN = Opposite / Adjacent Opposite / Adjacent 30 degrees

55. In class exercise from 3.2 page 129 Use a calculator to find the value of each rounded to four significant digits. This is calculator input not so much understanding trigonometery. cos 17°= sin 55°=

56. In class exercise from 3.2 page 129 Use a calculator to find each angle rounded to the nearest tenth of a degree. sin = 0.4305 cos = 0.1463 Page 122

57. Tangent of 45 degrees = 1

58. 45 degrees = 1