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Trigonometric Identities
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Chapter 1: Sets
Chapter 2: Real and Complex Number Systems
Chapter 3: Equations
Chapter 4: Matrices and Determinants
Chapter 5: Groups
Chapter 6: Sequences and Series
Chapter 7: Permutations, Combinations and Introduction to Probability
Chapter 8: Mathematical Induction and Binomial Theorem
Chapter 9: Fundamentals of Trigonometry
Chapter 10: Trigonometric Identities
Chapter 11: Graphs of Trigonometric Functions
Chapter 12: Solutions of Triangles
Chapter 13: Inverse Trigonometric Functions and Trigonometric Equations
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Chapter 10: Trigonometric Identities (
43 videos
)
  (
Practice Test
)
10.1: Trigonometric Identities and Their Applications  (
Practice Test
)
Proof of Fundamental Trigonometric Identity
Problem 1: Proof of Fundamental Trigonometric Identity
More on Fundamental Trigonometric Identity
Problem 2: More on Fundamental Trigonometric Identity
Problem 3: More on Fundamental Trigonometric Identity
Problem 4: More on Fundamental Trigonometric Identity
Problem5-Proof of Fundamental Trigonometric Identity
10.2: The Distance Formula  (
Practice Test
)
Derivation of Distance formula
Problem 1: Derivation of Distance formula
Problem-Derivation of Distance formula
Use of Distance formula
Problem 1: Use of Distance formula
Problem-Use of Distance formula
10.3: A Fundamental Law  (
Practice Test
)
Fundamental Law of Trigonometry
Problem-Fundamental Law of Trigonometry
More on Fundamental Law of Trigonometry
Proof of Angle Addition Formula for Cosine
Problem-Proof of Angle Addition Formula for Cosine
More on Proof of Angle Addition Formula for Cosine
10.4: Deductions From the Funndamental Law  (
Practice Test
)
Trigonometric Ratios and Allied Angles
Problem1-Trigonometric Ratios and Allied Angles
More on Trigonometric Ratios and Allied Angles
Problem2-Trigonometric Ratios and Allied Angles
10.5: The Sum and Difference Identities  (
Practice Test
)
Deductions From Fundamental Law
More on Deductions From Fundamental Law1
More on Deductions From Fundamental Law2
Problem1-Deductions From Fundamental Law
Problem2-Deductions From Fundamental Law
Problem3-Deductions From Fundamental Law
10.6: Applications  (
Practice Test
)
Further Application of Basic Identities
Problem1-Further Application of Basic Identities
More on Further Application of Basic Identities
Problem2-Further Application of Basic Identities
10.7: Identities for Sin2A, Cios2A and Tan2A
Double Angle Identities
Problem-Double Angle Identities
10.8: Identities For Sin A/2, Cos A/2 and Tan A/2
Half Angle Identities
Problem-Half Angle Identities
10.9: Sum and Product Identities For Trigonometric Functions  (
Practice Test
)
Product to Sum or Difference of Sines and Cosines
Problem-Product to Sum or Difference of Sines and Cosines
Sum or Difference to Product of Sines and Cosines
More on Sum or Difference to Product of Sines and Cosines
Problem-Sum or Difference to Product of Sines and Cosines
10.10: Applications
Applications of Product of Sines and Cosines
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