The Trigonometry
TI-83/TI-84 Tutorial

INSTRUCTIONS

How To Use The Tutorial
Default Settings
Screen Contrast
Radian vs Degree Mode

ARITHMETIC

Order Of Operations
Arithmetic Operations
Fractions
Absolute Value
Exponents
Roots
Scientific Notation
Complex Numbers

GRAPHING

Window Settings

Obtaining a standard viewing window

Adjusting the window settings

Pixels and screen size

ZDecimal

ZInteger

Standard trigonometric viewing window

Zoom Commands

ZStandard

ZBox

ZPrevious and Zoom In

Zoom Out

ZoomFit

FUNCTIONS

Evaluating A Function

Evaluating a function on the Home screen

Defining a function in the Y= editor

Using function notation on the Home screen

Using the TABLE in Ask mode

Using the TABLE in Auto mode

Evaluating a function from the graph

Basic Graphing And Analysis

Defining a function in the Y= editor

Standard window and adjustments

Using TRACE

Evaluating the function from the graph

Finding the y-intercept

Finding zeros

Finding relative extrema

Inverse Functions

Horizontal line test for one-to-one function

Graphing an inverse

Testing for inverses

ANGLES

Angle Conversion

Converting decimal degrees to DMS

Converting DMS to decimal degrees

Converting radians to decimal degrees or DMS

Converting decimal degrees to radians

Converting DMS to radians

Angle Arithmetic In DMS

Angle addition

Complement and supplement

Expressions

Arc length and sector area

UNIT CIRCLE

Circular Functions

Graphing a unit circle

Evaluating the circular functions

The unit circle in degrees

Returning to function mode

TRIGONOMETRIC FUNCTIONS

Evaluating

Home screen and decimal degrees

Evaluating with DMS

Using radians in Degree mode

Home screen and radians

Using degrees or DMS in Radian mode

Using function notation

Using the TABLE in Ask mode

Changing the function from the TABLE

Using the TABLE in Auto mode

Expressions

Examples from solving triangles

Powers of trigonometric functions

Law of Cosines

Law of Sines

Examples from applied or vector problems

Area formulas

Basic Graphs

The sine function

Selecting and de-selecting functions

The cosine function

The tangent function

Connected mode and false asymptotes

Graphing with the Dot style

The cosecant function

Using Dot mode

The secant function

The cotangent function

Graphing And Analysis

Entering the function

Choosing an optimal window

Using TRACE

Evaluating the function from the graph

Finding x-intercepts (zeros)

Finding maximum and minimum values

Working in Degree mode

Sinusoidal Regression

Setting up the stat editor

Entering data

Setting up a scatter plot

Calculating and graphing the regression model

Turning off a stat plot

INVERSE TRIG FUNCTIONS

Evaluating

The arcsine function

The arccosine function

Obtaining results in DMS

Converting degrees to radians

The arctangent function

Finding inverse cosecant values

Finding inverse cotangent values

Finding inverse secant values

Converting radians to degrees

Using reference angles

Expressions

Examples from solving triangles

Law of Sines

Law of Cosines

Composition of trig and inverse trig functions

Basic Graphs

Graphing the inverse

The arcsine function

The arccosine function

The arctangent function

The inverse cosecant function

The inverse cotangent function

The inverse secant function

Evaluating from the graph

Working in Degree mode

IDENTITIES

Verifying Identities

Numerically using the TABLE

Verifying graphically

TRIGONOMETRIC EQUATIONS

Solving Equations

Using the x-intercept method

Using the intersection method

Solving Inequalities

Using the x-intercept method

CONIC SECTIONS

Circles

Graphing a circle
Drawing a circle

Parabolas
Ellipses
Hyperbolas

PARAMETRIC EQUATIONS

Graphing Plane Curves

Setting parametric mode

Entering parametric equations

Standard window and adjusting

Evaluating parametric equations from the graph

Evaluating parametric equations from the TABLE

Lissajous figures

Graphing a hyperbola

Returning To Function Mode

VECTORS

Conversions

Finding the magnitude

Finding the direction angle

Finding the x-component

Finding the y-component

Basic Operations

Resultant and difference vectors

Dot product

Finding the angle between two vectors

COMPLEX NUMBERS

Basic Operations

Complex conjugate

Real and imaginary parts

Real vs complex mode

Polar Form Conversions

Finding the modulus

Finding the argument

Using the Polar command

Rectangular to polar commands

Polar to rectangular

Using the Rect command

Polar Form Operations

Setting polar form mode

Products and quotients

Finding powers

Returning To Real Mode

POLAR COORDINATES

Conversions

Converting to polar

Converting to rectangular

Evaluating Polar Functions

Setting polar mode

Entering a function

Using function notation

Using the TABLE in Ask mode

Using the TABLE in Auto mode

Returning To Function Mode
Graphing

Setting polar mode

Entering a function

Standard window and adjustment

Squaring the window

Finding rectangular coordinates from the graph

Working in Degree mode

Graphing a conic section in polar form

Returning To Function Mode

The Trigonometry TI-83/TI-84 Tutorial

TABLE OF CONTENTS