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CITATION

McCune, Sandra Luna and Clark, William D.. Must Know High School Trigonometry. New York: McGraw-Hill Education, 2019.

Must Know High School Trigonometry

Authors: Sandra Luna McCune and William D. Clark

Published:  December 2019 Pages: 400

eISBN: 9781260459890 | ISBN: 9781260459883
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  • Cover
  • Title Page
  • Copyright Page
  • Contents
  • Introduction
  • The Flashcard App
  • 1 Angles and Their Measure
  • Basic Concepts and Terminology of Angles
  • Complementary and Supplementary Angles
  • Coterminal Angles
  • Reference Angles
  • Radian Measure
  • Applications of Radian Measure
  • 2 Concepts from Geometry
  • The Sum of a Triangle’s Angles
  • The Triangle Inequality Theorem
  • The Pythagorean Theorem
  • Similar Triangles
  • 3 Right Triangle Trigonometry
  • Trigonometric Ratios of an Acute Angle in a Right Triangle
  • Trigonometric Ratios of Special Acute Angles
  • Finding Missing Sides in Right Triangles with Special Acute Angles
  • 4 The Trigonometry of General Right Triangles
  • Solving Right Triangles
  • Applications of Right Triangle Trigonometry
  • 5 The Trigonometry of Oblique Triangles
  • Law of Cosines (SAS or SSS)
  • Law of Sines (ASA or AAS)
  • Law of Sines Ambiguous Case (SSA)
  • Solving General Triangles
  • Area of a General Triangle Using Trigonometry
  • 6 Trigonometric Functions of Any Angle
  • Trigonometric Functions of Complementary Angles
  • Unit Circle Trigonometry
  • Trigonometric Functions of Quadrantal Angles
  • Trigonometric Functions of Coterminal Angles
  • Trigonometric Functions of Negative Angles
  • Using Reference Angles to Find the Values of Trigonometric Functions
  • 7 Trigonometric Identities
  • Definition and Guidelines
  • The Reciprocal and Ratio Identities
  • The Cofunction, Periodic, and Even-Odd Identities
  • The Pythagorean Identities
  • Sum and Difference Formulas for the Sine Function
  • Sum and Difference Formulas for the Cosine Function
  • Sum and Difference Formulas for the Tangent Function
  • Double-Angle Identities
  • Half-Angle Identities
  • 8 Trigonometric Functions of Real Numbers
  • Definitions and Basic Concepts of Trigonometric Functions of Real Numbers
  • Periodic Functions
  • 9 Graphs of the Sine Function
  • The Graph of y = sin x
  • The Graph of y = A sin x
  • The Graph of y = A sin Bx
  • The Graph of y = A sin(Bx - C)
  • The Graph of y = A sin(Bx - C) + D
  • 10 Graphs of the Cosine Function
  • The Graph of y = cos x
  • The Graph of y = A cos(Bx - C) + D
  • 11 Graphs of the Tangent Function
  • The Graph of y = tan x
  • The Graph of y = A tan(Bx - C) + D
  • 12 Inverse Trigonometric Functions
  • Definitions and Basic Concepts of the Inverse Sine, Cosine, and Tangent Functions
  • Evaluating the Inverse Sine, Cosine, and Tangent Functions
  • 13 Solving Trigonometric Equations
  • Solving for Exact Solutions to Trigonometric Equations
  • Solving for Approximate Solutions to Trigonometric Equations
  • Answer Key
  • Appendix A: Calculator Instructions for Trigonometry Using the TI-84 Plus
  • Appendix B: Trigonometric Identities/Formulas