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# Plane Trigonometry MATH 1213

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This 4 page Class Notes was uploaded by Silas Langosh on Thursday October 15, 2015. The Class Notes belongs to MATH 1213 at NorthWest Arkansas Community College taught by Staff in Fall. Since its upload, it has received 72 views. For similar materials see /class/224066/math-1213-northwest-arkansas-community-college in Mathematics (M) at NorthWest Arkansas Community College.

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Date Created: 10/15/15

NORTHWEST ARKANSAS COMIVTUNTTY COLLEGE Fall 2007 Division of Science and quot Course Outline Course MATH 1213 Plane Trigonometry Catalog Description A survey of basic trigonometric concepts Topics include trigonometric functions graphs of trigonometric functions trigonometric identities and equations inverse trigonometric functions the Laws of Sines and Cosines area vectors applications of trigonometry complex numbers polar coordinates equations and graphs and a review of exponential and logarithmic functions Prerequisite MATH 1204 with a grade of C or better or appropriate placement scores CreditContactLoad Hours 3 credit hours 3 contact hours 3 load hours Target Audience and Transfer Trigonometry is required for students who will take Calculus 1 and or College Physics It is designed to transfer as 3 credit hours of Plane Trigonometry General Course Objectives Upon successful completion of this course students should exhibit mastery of certain knowledge and basic skills These skills include but are not limited to 1 Analyzing and classifying angles converting between units using the arc length formula and using the relationship between linear and angular speed 2 Defining and finding the exact values of the six trigonometric functions 3 Applying the six trigonometric functions 4 Graphing the six trigonometric functions by hand 5 Analyzing and writing equations of simple harmonic motion 6 Verifying and applying trigonometric identities 7 Solving trigonometric equations 8 Defining using and applying inverse trigonometric functions 9 Defining using and applying the Law of Sines and Law of Cosines 10 Performing operations with and applying vectors 11 Converting complex numbers into trigonometric form amp vice versa performing operations with complex numbers and finding roots and powers of complex numbers 12 Converting between rectangular amp polar coordinates and graphing polar coordinates and equations Required Text Trigonometry Eighth Edition Lial Hornsby Schneider Addison Wesley 2005 REQUIRED CONTENT Section Topic 11 Angles 13 Trigonometric Functions 14 Using the Definitions of the Trigonometric Functions 21 Trigonometric Functions of Acute Angles 22 Trigonometric Functions of NonAcute Angles 23 Finding Trigonometric Function Values Using a Calculator 24 Solving Right Triangles 25 Further Applications of Right Triangles 31 Radian Measure 32 Applications of Radian Measure 1 Trig Course Outline F07 33 The Unit Circle and Circular Functions 34 Linear and Angular Speed 41 Graphs of the Sine and Cosine Functions 42 Translations of the Graphs of the Sine and Cosine Functions 43 Graphs of the Other Circular Functions 44 Harmonic Motion 5 1 Fundamental Identities 52 Verifying Trigonom etric Identities 53 Sum and Difference Identities for Cosine 54 Sum and Difference Identities for Sine and Tangent 55 DoubleAngle Identities 56 HalfAngle Identities 61 Inverse Circular Functions 62 Trigonometric Equations I 63 Trigonometric Equations II 71 Oblique Triangles and the Law of Sines 72 The Ambiguous Case of the Law of Sines 73 The Law of Cosines 74 Vectors Operations and the Dot Product 75 Applications of Vectors 81 Complex Numbers 82 Trigonometric Form of Complex Numbers 83 The Product and Quotient Theorems 84 De Moivre s Theorem 8 5 Polar Equations and Graphs Chapter 9 Review of Exponential and Logarithmic Functions Their Graphs Their Properties and Their Applications Note A variety of application problems from each required topic should be assigned OPTIONAL SECTIONS 12 64 86 Required Instructional Activity This course should be taught with the use of a graphing utility when appropriate If students use the graphing calculator to graph trigonometric functions instructors should still require them to write down the amplitude period phase shift vertical shift and 5 key points Students should also be required to accurately graph two full periods of the function on paper Familiarity with the unit circle and the ability to memorize or quickly determine the values of the trigonometric functions for common angles without the aid of a calculator is vital for the students success in calculus and is a required component of this course Required Forms of Assessment Each instructor must include a set of 9 departmental final exam questions on his or her final exam These questions will be in direct support of the specific objectives stated in the Core Course Objectives will be based on material covered in Required Text Coverage sections and will be similar to the questions on the Departmental Review Sheet for Trigonometry These questions should be evenly weighted on the final and should compose at least 15 of the students overall grade in the course The questions will be graded using a departmental grading rubric utilizing a 10point scale per question The results of these questions and overall student performance will be reported when final grades are turned in Please note that the only resource other than a graphing calculator allowed for use by students during the nal exam will be a departmental formula sheet It is also a departmental policy that no T I89 or T I92 or comparable calculators be allowed for use during the nal exam Instructor Resources Instructor s Solution Manual Instructor s Testing Manual Student Resources Student Study Guide MyMathL ab 2 Trig Course Outline F07 NORTHWEST ARKANSAS COlA1TUN1TY COLLEGE Fall 2007 Division of Science and 39 Course Outline Course MATH 1213 Plane Trigonometry Catalog Description A survey of basic trigonometric concepts Topics include trigonometric functions graphs of trigonometric functions trigonometric identities and equations inverse trigonometric functions the Laws of Sines and Cosines area vectors applications of trigonometry complex numbers polar coordinates equations and graphs and a review of exponential and logarithmic functions Prerequisite MATH 1204 with a grade of C or better or appropriate placement scores CreditContactLoad Hours 3 credit hours 3 contact hours 3 load hours Target Audience and Transfer Trigonometry is required for students who will take Calculus 1 and or College Physics It is designed to transfer as 3 credit hours of Plane Trigonometry General Course Objectives Upon successful completion of this course students should exhibit mastery of certain knowledge and basic skills These skills include but are not limited to 1 Analyzing and classifying angles converting between units using the arc length formula and using the relationship between linear and angular speed 2 Defining and finding the exact values of the six trigonometric functions 3 Applying the six trigonometric functions 4 Graphing the six trigonometric functions by hand 5 Analyzing and writing equations of simple harmonic motion 6 Verifying and applying trigonometric identities 7 Solving trigonometric equations 8 Defining using and applying inverse trigonometric functions 9 Defining using and applying the Law of Sines and Law of Cosines 10 Performing operations with and applying vectors 11 Converting complex numbers into trigonometric form amp vice versa performing operations with complex numbers and finding roots and powers of complex numbers 12 Converting between rectangular amp polar coordinates and graphing polar coordinates and equations Required Text Trigonometry Eighth Edition Lial Hornsby Schneider Addison Wesley 2005 REQUIRED CONTENT Section Topic 11 Angles 13 Trigonometric Functions 14 Using the Definitions of the Trigonometric Functions 21 Trigonometric Functions of Acute Angles 22 Trigonometric Functions of NonAcute Angles 23 Finding Trigonometric Function Values Using a Calculator 24 Solving Right Triangles 25 Further Applications of Right Triangles 31 Radian Measure 32 Applications of Radian Measure 1 Trig Course Outline F07 33 The Unit Circle and Circular Functions 34 Linear and Angular Speed 41 Graphs of the Sine and Cosine Functions 42 Translations of the Graphs of the Sine and Cosine Functions 43 Graphs of the Other Circular Functions 44 Harmonic Motion 51 Fundamental Identities 52 Verifying Trigonometric Identities 53 Sum and Difference Identities for Cosine 54 Sum and Difference Identities for Sine and Tangent 55 DoubleAngle Identities 56 HalfAngle Identities 61 Inverse Circular Functions 62 Trigonometric Equations I 63 Trigonometric Equations II 71 Oblique Triangles and the Law of Sines 72 The Ambiguous Case of the Law of Sines 73 The Law of Cosines 74 Vectors Operations and the Dot Product 75 Applications of Vectors 81 Complex Numbers 82 Trigonometric Form of Complex Numbers 83 The Product and Quotient Theorems 84 De Moivre s Theorem 8 5 Polar Equations and Graphs Chapter 9 Review of Exponential and Logarithmic Functions Their Graphs Their Properties and Their Applications Note A variety of application problems from each required topic should be assigned OPTIONAL SECTIONS 12 64 86 Required Instructional Activity This course should be taught with the use of a graphing utility when appropriate If students use the graphing calculator to graph trigonometric functions instructors should still require them to write down the amplitude period phase shift vertical shift and 5 key points Students should also be required to accurately graph two full periods of the function on paper Familiarity with the unit circle and the ability to memorize or quickly determine the values of the trigonometric functions for common angles without the aid of a calculator is vital for the students success in calculus and is a required component of this course Required Forms of Assessment Each instructor must include a set of 9 departmental final exam questions on his or her final exam These questions will be in direct support of the specific objectives stated in the Core Course Objectives will be based on material covered in the Required Text Coverage sections and will be similar to the questions on the Departmental Review Sheet for Trigonometry These questions should be evenly weighted on the final and should compose at least 15 of the students overall grade in the course The questions will be graded using a departmental grading rubric utilizing a 10point scale per question The results of these questions and overall student performance will be reported when final grades are turned in Please note that the only resource other than a graphing calculator allowed for use by students during the nal exam will be a departmental formula sheet It is also a departmental policy that no T I89 or T I92 or comparable calculators be allowed for use during the nal exam Instructor Resources Instructor s Solution Manual Instructor s Testing Manual Student Resources Student Study Guide MyMathL ab 2 Trig Course Outline F07

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