Chapter 10: Trigonometric Identities Sum and Difference of Angles

 

10.1: Introduction

1. Derivation of Distance formula
2. Problem-Derivation of Distance formula
3. Use of Distance formula
4. Problem-Use of Distance formula
5. Fundamental Law of Trigonometry
6. More on Fundamental Law of Trigonometry
7. Problem-Fundamental Law of Trigonometry
8. Proof of Angle Addition Formula for Cosine
9. More on Proof of Angle Addition Formula for Cosine
10. Problem-Proof of Angle Addition Formula for Cosine

10.2: Deductions From Fundamental Law

1. Deductions From Fundamental Law
2. More on Deductions From Fundamental Law1
3. More on Deductions From Fundamental Law2
4. Problem1-Deductions From Fundamental Law
5. Problem2-Deductions From Fundamental Law
6. Problem3-Deductions From Fundamental Law

10.3: Trigonometric Ratios and Allied Angles

1. Trigonometric Ratios and Allied Angles
2. More on Trigonometric Ratios and Allied Angles
3. Problem1-Trigonometric Ratios and Allied Angles
4. Problem2-Trigonometric Ratios and Allied Angles
5. Maximum and Minimum Value of given Trigonometric Function
6. More on Maximum and Minimum Value of given Trigonometric Function
7. Writing aSinA + bCosA in the Form r Sin(A + B )
8. Solving aSinA + bCosA = c

10.4: Further Application of Basic Identities

1. Further Application of Basic Identities
2. Problem1-Further Application of Basic Identities
3. More on Further Application of Basic Identities
4. Problem2-Further Application of Basic Identities

10.5: Double angle Identities

1. Double Angle Identities
2. Problem-Double Angle Identities

10.6: Half Angle Identities

1. Half Angle Identities
2. Problem-Half Angle Identities

10.7: Triple Angle Identities

1. Triple Angle Identities
2. More on Triple Angle Identities
3. Further on Triple Angle Identities
4. Problem1-Triple Angle Identities
5. Problem2-Triple Angle Identities

10.8: Sum, Difference and Product of Sines and Cosines

1. Product to Sum or Difference of Sines and Cosines
2. Problem-Product to Sum or Difference of Sines and Cosines
3. Sum or Difference to Product of Sines and Cosines
4. More on Sum or Difference to Product of Sines and Cosines
5. Problem-Sum or Difference to Product of Sines and Cosines
6. Applications of Product of Sines and Cosines