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Trigonometry
Basic Concepts
- Coordinate System and 4 Quadrants
Triangles
Trigonometric Functions
- Application of Congruence in Indirect Measurement
- Application of Similar Triangles in Indirect Measurement
- Functions of Acute Angles
- Cotangent (abbrev. cotan or cot)
- Cosecant (abbrev. cosec or csc)
- Functions of General Angles
- Reducing Functions of a General Angle to Functions of an Acute Angle
- Functions of Negative Angles
- Tables of Trigonometric Functions
Trigonometry of Triangles
- Checking Solutions: Mollweide Formulas
- Areas of Triangles: Heron's Formula
Graphs of Trigonometric Functions
Trigonometric Identities
- Double-Angle and Half-Angle Identities
- Product-Sum and Sum-Product Identities
- Trigonometric Reduction Formulas
Vectors
- Geometric Method for Vector Addition
- Geometric Method for Vector Subtraction
- Component Method for Vector Addition
- Component Method for Vector Subtraction
Polar Coordinates and Complex Numbers
- Geometry of Complex Numbers
Inverse Functions
- Inverse Sine and Other Inverse Trigonometric Functions
- Graphs of the Inverse Trigonometric Functions
Additional Topics
Additional Topics
- The Expression (A sin x + B cos x)
Spherical Trigonometry
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