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Plane Trigonometry Syllabus and Course Structure – MATH 1316

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Angles in Standard Position

Complementary and Supplementary Angles

Coterminal Angles

Pythagorean Theorem & Basics of Triangles

Trigonometric Functions on Right Triangles

Special Right Triangles

Solving Right Triangles

Radians

Defining the Unit Circle

Trigonometric Functions on the Unit Circle

Common Values of Sine, Cosine, & Tangent

Reference Angles

Reciprocal Trigonometric Functions on the Unit Circle

Graphs of the Sine and Cosine Functions

Phase Shifts

Graphs of Secant and Cosecant Functions

Graphs of Tangent and Cotangent Functions

Introduction to Trigonometric Identities

Sum and Difference Identities

Double Angle Identities

Inverse Sine, Cosine, & Tangent

Linear Trigonometric Equations

Solving Trigonometric Equations Using Identities

Law of Sines

Law of Cosines

Geometric Vectors

Vectors in Component Form

Dot Product

Polar Coordinate System

Convert Points Between Polar and Rectangular Coordinates

Graphing Parametric Equations

Writing Parametric Equations