Trigonometry – Elementary Trigonometry

Authors

Prof. Mary Ann Kelso

Olympic College

Anwar Khader Msc

Preface

Preliminaries

Vector Algebra

Euclidean Distance Function

Distance Function Practice

Pythagorean Theorem

Circles

Even Odd Functions

Angular Measurements

Measuring π

π Darts!!

Measuring Angles (Radian)

Unit Circle

Unit Circle and Triangle angle measurements

Angle Measurement API

Circle Area API

Trigonometry Functions

lim Sin(x)/x when x→0

Cosecant Definition (API)

Cosecant

Secant Definition (API)

Secant

Trigonometry Functions Practice

Graded Homework 1

Test 1

Trigonometry Inverse Functions

Functions and Vertical Test

Inverse Function Practice

Graded Assignment 3

Solving Trigonometric Equations

Solve Cosine Equations With No Identities

Solve Sine Equations With No Identities

Solve Tan Equations With No Identities

Solver: Sin(ax+b)=c API

Sin(ax+b)=c Practice

Solver: Cos(ax+b)=c API

Cos(ax+b)=c Practice

Tan(ax+b)=c API

Tan(ax+b)=c Practice

Applications

Harmonic Oscillator API

Phase Shift Practice

Sinusoidal Curve Fitting

Trigonometric Identities

Sin(a+b) Pictorial Proof (API)

Sin(a+b) and Cos(a+b) Pictorial Proof (API)

Sin(a+b) and Cos(a+b) Practice

Proof: Tan(a+b)

Triangles

Trigonometry Functions and Triangles

Area of Triangle Pictorial Proof (API)

Area of Triangle Practice

Triangles Practice

Right Triangle Practice 1

Right Triangle Practice 2

Laws of Sines and Cosines

Case1: Given two edges and the incident angle

Practice

Polar Coordinates & Curves

Polar vs. Cartesian Coordinates

Polar vs. Cartesian Curves

Polar Conversion (practice)

Vector Algebra