A Precalculus Outline

 Chapter 11: Applications of Trigonometry Objective: Examples of Sinusoidal Models Objective: Graphs of the Trigonometric Functions (Section 10.5) Objective: Solving Triangles using The Law of Sines Objective: Applications involving Law of Sines Objective: The Ambiguous Case Objective: Application with the Ambiguous Case Objective: Finding the Area of a triangle using Sine Objective: Degree Measure (Section 10.1) Objective: Solving equations involving the trigonometric functions (Sections 10.6, 10.7) Objective: Solving Triangles using The Law of Cosines Objective: Applications to Law of Cosines Objective: Finding the Area of a Triangle using Heron's Formula Objective: Degree Measure (Section 10.1) Objective: Solving equations involving the trigonometric functions (Sections 10.6, 10.7) Objective: Introduction to Polar Coordinates Objective: Converting points between rectangular and polar coordinates Objective: Convert Polar Equations to Rectangular Equations Objective: Convert Rectangular Equations to Polar Equations Objective: The Unit Circle: Cosine and Sine (Section 10.2) Objective: Graphing Polar Equations Objective: Graphs of the Trigonometric Functions (Section 10.5) Objective: Polar Coordinates (Section 11.4) Objective: General Form of a Conic Objective: Conics (Chapter 7) Objective: Writing complex numbers in polar form Objective: Finding products and quotients of complex numbers in polar form Objective: Finding powers of complex numbers written in polar form (DeMoivre's Theorem) Objective: Finding the roots of a complex number Objective: Complex Zeros and The Fundamental Theorem of Algebra (Section 3.4) Objective: Polar Coordinates (Section 11.4) Objective: Introduction to Vectors Objective: Representing Vectors Geometrically and Algebraically Objective: Polar Coordinates (Section 11.4) Objective: Bearing Applications (Sections 11.2 and 11.3) Objective: Finding the Dot Product of two vectors Objective: Finding the angle between two vectors Objective: Deriving the formula for the angle between two vectors Objective: Vectors (Section 11.8) Objective: The Inverse Trigonometric Functions (Section 10.6) Objective: Trigonometric Equations and Inequalities (Section 10.7) Objective: Graphing a system of parametric equations Objective: Converting a system of parametric equations to rectangular form Objective: Systems of Non-Linear Equations and Inequalities (Section 8.7) Objective: Conics (Chapter 7)