Authors

Prof. Mary Ann Kelso

Olympic College

## Preliminaries

Vector Algebra

Euclidean Distance Function

Distance Function Practice

Pythagorean Theorem

Circles

Even Odd Functions

## Angular Measurements

Measuring π

π Darts!!

Angles Practice 1

Angles Practice 2

Angles Practice 3

Angles Practice 4

## Unit Circle

Unit Circle and Triangle angle measurements

Angle Measurement API

Circle Area API

## Trigonometry Functions

Sin Definition API

Sin Graph

Sin API

Sin Properties

lim Sin(x)/x  when x→0

Cos Definition API

Cos Graph

Cos API

Cos Properties

Tan Definition (API)

Tan Graph

Tan API

Cot Definition (API)

Cot Graph

Cosecant Definition (API)

Cosecant

Secant Definition (API)

Secant

Trigonometry Functions Practice

Test 1

## Trigonometry Inverse Functions

Functions and Vertical Test

One-to-One Functions

Inverse Cos

Inverse Sin

Inverse Tan

Inverse Cot

Inverse Function Practice

## 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

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

Vector (polar)

Vectors + – *

practice

Dot Product (API)