Trigonometry

Bob Blitzer is a native of Manhattan and received a Bachelor of Arts degree with dual majors in mathematics and psychology (minor: English literature) from the City College of New York. His unusual combination of academic interests led him toward a Master of Arts in mathematics from the University of Miami and a doctorate in behavioral sciences from Nova University. Bob is most energized by teaching mathematics and has taught a variety of mathematics courses at Miami-Dade College for nearly 30 years. He has received numerous teaching awards, including Innovator of the Year from the League for Innovations in the Community College, and was among the first group of recipients at Miami-Dade College for an endowed chair based on excellence in the classroom. Bob has written Intermediate Algebra for College Students, Introductory Algebra for College Students, Essentials of Intermediate Algebra for College Students, Introductory and Intermediate Algebra for College Students, Essentials of Introductory and Intermediate Algebra for College Students, Algebra for College Students, Thinking Mathematically, College Algebra, Algebra and Trigonometry, Precalculus, and Trigonometry all published by Pearson.

1. Angles and the Trigonometric Functions

1.1 Angles and Radian Measure

1.2 Right Triangle Trigonometry

1.3 Trigonometric Functions of Any Angle

1.4 Trigonometric Functions: The Unit Circle

 

2. Graphs of the Trigonometric Functions; Inverse Trigonometric Functions

2.1 Graphs of Sine and Cosine Functions

2.2 Graphs of Other Trigonometric Functions

2.3 Inverse Trigonometric Functions

2.4 Applications of Trigonometric Functions

 

3. Trigonometric Identities and Equations

3.1 Verifying Trigonometric Identities

3.2 Sum and Difference Formulas

3.3 Double-Angle, Power-Reducing, and Half-Angle Formulas

3.4 Product-to-Sum and Sum-to-Product Formulas

3.5 Trigonometric Equations

 

4. Laws of Sines and Cosines; Vectors

4.1 The Law of Sines

4.2 The Law of Cosines

4.3 Vectors

4.4 The Dot Product

 

5. Complex Numbers, Polar Coordinates and Parametric Equations

5.1 Complex Numbers

5.2 Complex Numbers in Polar Form; DeMoivre's Theorem

5.3 Polar Coordinates

5.4 Graphs of Polar Equations

5.5 Parametric Equations