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PinkMonkey.com Trigonometry Study Guide

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Chapter 1 Circular Functions & Trigonometry
1.1 Angles (Radians & Degrees)
1.2 Arc Length & Area of The Circle
Supplementary Problems

Chapter 2 Trigonometric functions of Acute Angles
2.1 Trigonometric Ratio of Acute Angle
2.2 Fundamental Relation between the trigonometric Ratios of angle
2.3 Functions of General Angles or t Ratio
2.4 Tables of Trigonometric Function
Supplementary Problems

Chapter 3 Trigonometry of Triangles
3.1 Solving Right Triangles
3.2 Law of Cosines
3.3 Law of Sines
3.4 The Ambiguous Case of Law of Sines
3.5 Areas of Triangles
Supplementary Problems

Chapter 4 Trigonometric Identities
4.1 Fundamental Identities
4.2 The addition formulas
4.3 The multiple - angle (Double & Half Angle) Formulas
4.4 Tangent Identities
4.5 Factorization & Defactorization
Supplementary Problems

Chapter 5 Graphs of Trigonometric Functions
5.1 Circular function
5.2 Periodic function
5.3 Even & Odd
5.4 Graphs of Trigonometric Functions
Supplementary Problems

Chapter 6 Inverse Circular function
6.1 Inverse functions
6.2 Trigonometric Equations
Supplementary Problems

Chapter 7 Vectors & Polar Co-ordinates
7.1 Scalars & Vectors
7.2 Algebra of Vectors
7.3 Representation of a vector in a plane
7.4 Dot or Scalar product
7.5 Polar Co-ordinattes
Supplementary Problems

Chapter 8 Complex Numbers
8.1 Geometry of Complex number
8.2 De - moivre’s Theorem
8.3 Roots of Complex numbers
8.4 Circular Function of Complex angles & Hyperbolic function
Supplementary Problems

Chapter 9 Applications
9.1 The expression A sin wt & B cos wt
9.2 Simple Harmonic motion

Bibliography

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