Book contents
- Frontmatter
- Contents
- About these Study Guides
- This Guide and Mathematics Competitions
- This Guide and the Craft of Solving Problems
- This Guide and Mathematics Content: Trigonometry
- For Educators: This Guide and the Common Core State Standards
- Part I: Trigonometry
- 1 The Backbone Theorem: The Pythagorean Theorem
- 2 Some Surprisingly Helpful Background History
- 3 The Basics of “Circle-ometry”
- 4 Radian Measure
- 5 The Graphs of Sine and Cosine in Degrees
- 6 The Graphs of Sine and Cosine in Radians
- 7 Basic Trigonometric Identities
- 8 Sine and Cosine for Circles of Different Radii
- 9 A Paradigm Shift
- 10 The Basics of Trigonometry
- 11 The Tangent, Cotangent, Secant, and Cosecant Graphs
- 12 Inverse Trigonometric Functions
- 13 Addition and Subtraction Formulas; Double and Half Angle Formulas
- 14 The Law of Cosines
- 15 The Area of a Trian
- 16 The Law of Sines
- 17 Heron's Formula for the Area of a Triangle
- 18 Fitting Trigonometric Functions to Periodic Data
- 19 (EXTRA) Polar Coordinates
- 20 (EXTRA) Polar Graphs
- Part II: Solutions
- Solutions
- Appendix: Ten Problem-Solving Strategies
20 - (EXTRA) Polar Graphs
from Part I: Trigonometry
- Frontmatter
- Contents
- About these Study Guides
- This Guide and Mathematics Competitions
- This Guide and the Craft of Solving Problems
- This Guide and Mathematics Content: Trigonometry
- For Educators: This Guide and the Common Core State Standards
- Part I: Trigonometry
- 1 The Backbone Theorem: The Pythagorean Theorem
- 2 Some Surprisingly Helpful Background History
- 3 The Basics of “Circle-ometry”
- 4 Radian Measure
- 5 The Graphs of Sine and Cosine in Degrees
- 6 The Graphs of Sine and Cosine in Radians
- 7 Basic Trigonometric Identities
- 8 Sine and Cosine for Circles of Different Radii
- 9 A Paradigm Shift
- 10 The Basics of Trigonometry
- 11 The Tangent, Cotangent, Secant, and Cosecant Graphs
- 12 Inverse Trigonometric Functions
- 13 Addition and Subtraction Formulas; Double and Half Angle Formulas
- 14 The Law of Cosines
- 15 The Area of a Trian
- 16 The Law of Sines
- 17 Heron's Formula for the Area of a Triangle
- 18 Fitting Trigonometric Functions to Periodic Data
- 19 (EXTRA) Polar Coordinates
- 20 (EXTRA) Polar Graphs
- Part II: Solutions
- Solutions
- Appendix: Ten Problem-Solving Strategies
Summary
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- Type
- Chapter
- Information
- TrigonometryA Clever Study Guide, pp. 145 - 148Publisher: Mathematical Association of AmericaPrint publication year: 2015