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# Trigonometry & Analytical Geometry MAT1863 Dual Enrollment

## Course ID: 3288

URGENT NOTE:

This should only be done AFTER you have enrolled in the class and have a held and approved seat. Thank you!

In order to receive any Dual Enrollment credits from PBAU you must go to Dual Enrollment PBAU Registration and follow the directions precisely.

Dual Enrollment Course (3.0 credits).

This course is a pre-requisite for Calculus I. Further study in algebraic functions will be studied as well as new topics in transcendental functions, including logarithms, matrices, determinants, conic sections, and series. Topics covered in trig include: a functional approach to trigonometry, trigonometric equations, trigonometric identities, solving trigonometric equations, solving right and oblique triangles, complex numbers in trigonometric form, application of DeMoivre's theorem, two dimensional vectors, and parametric equations. This course is also called Pre-Calculus.

Required: TI 83 or 83+ graphing calculator

Prerequisite: College Algebra with a grade of C or better

Resources and Materials:

1. Trigonometry (3rd Edition) M. Dugopolski Addison Wesley

— Author: M. Dugopolski

— ISBN-13: 9780321644756

Categories: Dual Enrollment; Math

Target Levels: Grade 10; Grade 11; Grade 12

High School Credits: 1

College Credits: 3

John Baker

Tuition and Class Schedule by Academic Term:

Spring Only 2025

Tuition and Fees

Tuition: $595.00

PBAU Fee for DE: $60.00

Copying Resource Fee: $10.00

Paid Security Guard Fee for Safety of Children: $25.00

Section 1: John Baker (bakerj@wa.edu) (Open)

Thu 3:45

**PM**- 5:55**PM**

Topics and Objectives

1. Angles and the Trigonometric Functions

— The Learner will:

- measure angles in degrees

— - measure angles in radians

— - determine the length of an arc and the area of a sector

— - determine angular velocity

— - solve right triangles

— - apply the fundamental identity

— - use reference angles

2. Graphs of the Trigonometric Functions

— The Learner will:

- draw the unit circle

— - graph the general sine wave and transformations

— - graph the general cosine wave and transformations

— - graph the general secant wave and transformations

— - graph the general cosecant wave and transformations

— - graph the general tangent wave and transformations

— - graph the general cotangent wave and transformations

— - graph combinations of trig functions

3. Trigonometric Identities

— The Learner will:

- learn basic trigonometric identities

— - verify trig identities

— - apply sum and difference identities for cosine

— - apply sum and difference identities for sine and tangent

— - apply double angle and half angle identities

— - apply product and sum identities

4. Solving Conditional Trigonometric Equations

— The Learner will:

- study the inverse trigonometric functions

— - solve basic sine, cosine, and tangent equations

— - solve multiple angle equations

— - solve trig equations of quadratic type

5. Applications of Trigonometry

— The Learner will:

-apply the Law of Sines

— -apply the Law of Cosines

— -determine the area of a triangle

— - study vectors

— - solve problems involving the application of vectors

6. Complex Numbers, Polar Coordinates, and Parametric Equations

— The Leaner will:

- study complex numbers

— - convert complex numbers into trigonometric form

— - determine powers and roots of complex numbers

— - solve polar equations

— - solve parametric equations

7. Analytic Geometry

— The Learner will:

- graph and write equations involving ellipses

— - graph and write equations involving hyperbolas

— - graph and write equations involving parabolas