Dual Credit Trigonometry (Math 144)

Course Description

This course covers right triangle and circular function approaches to trigonometry, graphs of trig functions, trig identities, conditional equations, right and non-right triangle applications of trigonomety, inverse trig functions, trigonometry of complex numbers including DeMoivre's Theorem, polar coordinates and equations, parametric equations.

Topic 1: Angles

Radians and degrees

Arc length, Sector area

Angular speed

Topic 2: Basic Triangle Trigonometry

The six trigonometric ratios of a right triangle.

Inverse trigonometric functions

Law of Sines and Law of Cosines

Using trigonometry to find the area of a triangle.

Topic 3: The Unit Circle and Trigonometric Functions

The Unit Circle

Graphs of the six trigonometric functions and their inverses

Applying trigonometry to solve problems

Topic 4: Exam

Take a test covering topics 1-3.

Topic 5: Analytic Trigonometry

Basic trigonometric identities

Pythagorean identities

Sum, difference, double-angle, and half-angle identities

Solving trigonometric equations

Topic 6: Conics

Graphing conics

Writing equations for conics

Completing the square to change from the general form of a conic

Topic 7: Polar Coordinates and Parametric Equations

Polar coordinates and polar equations

Converting between polar and rectangular

Polar form of complex numbers

Product, quotient, and powers of complex numbers

Parameters and parameter elimination

Topic 8: Exam

Take a test covering topics 5-7.

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