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EET 109 Math October 6,2015 Week 2 Day 2 Parking enforcement has started this week. Director of Safety & Security Parking & Transportation Coordinator.

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Presentation on theme: "EET 109 Math October 6,2015 Week 2 Day 2 Parking enforcement has started this week. Director of Safety & Security Parking & Transportation Coordinator."— Presentation transcript:

1 EET 109 Math October 6,2015 Week 2 Day 2 Parking enforcement has started this week. Director of Safety & Security Parking & Transportation Coordinator

2 Turn in completed home work not partial. Staple your work together and in order.

3 Graded and Recorded 10/10 8/10 Score Scored and recorded.

4 1.2 ZERO AND ORDER OF OPERATIONS

5 Section 1.3 page 10 “Laws”

6 Measurement : A. Defined as the comparison of a quantity with a standard unit. B. A number that has been determined as a result of counting or that has been defined in some way. C. Determined as a result of some measurement process. D. Defined by significant digits.

7 Exact number: A. Defined as the comparison of a quantity with a standard unit. B. Determined as a result of some measurement process. C. Defined by significant digits. D. A number that has been determined as a result of counting or that has been defined in some way.

8 Approximate numbers: A. Defined as the comparison of a quantity with a standard unit. B. A number that has been determined as a result of counting or that has been defined in some way. C. Determined as a result of some measurement process. D. Defined by significant digits.

9 Accuracy and Precision are: A. Defined by significant digits. B. Defined as the comparison of a quantity with a standard unit. C. Numbers that have been determined as a result of counting or that have been defined in some way. D.Determined as a result of some measurement process.

10 Chapter 1 Fundamental Concepts

11 1.12 SUBSTITUTION OF DATA INTO FORMULAS Page 45 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.

12 1.12 SUBSTITUTION OF DATA INTO FORMULAS Page 46

13 Exercises 1.12 page 48 number 13

14

15 Chapter 3 Right-Triangle Trigonometry

16 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.

17 Page 115 Angles can be measured using any of three units of measure: revolutions degrees radians

18 Degrees 360 degrees = 1 revolution

19 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

20 Latitude

21 The one radian is just under 57.3 degrees.

22 Where are the triangle?

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

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

25 Pythagorean Theorem page 118

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

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

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

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

30 Page 122 Note: While all six trigonometric rations may be used to solve a right triangle, we will usually choose sine, cosine, and tangent. The corresponding pairs of reciprocals are called reciprocal trigonometric functions.

31 The side opposite the angle.

32

33 The hypotenuse is opposite the right angle.

34 Page 122-123 Use in Fig. 3.13 for Exercises 29 through 60.

35 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 ____.

36 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

37

38 From Yesterday 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°.

39 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,

40 Once the value of one acute angle is known, we can find the value of the other. C always = 90 so A

41 The Sin of 30 degrees is.577 Sin = Opposite / Adjacent Opposite / Adjacent 30 degrees


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