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 Algebra
Trigonometry Precalculus |
The Precalculus Trigonometry TI-83/TI-84 Tutorial is available in an online version or on CD-ROM. The content is suitable for both the high school or college level. The tutorial was designed to supplement a precalculus level trigonometry course, or to be used independently for instruction on the use of the TI-83 or TI-84. It is especially suited to distance learning applications. |
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© 2006 Turner Educational Publishing. All rights reserved.
The TI-83 and TI-84 calculators were designed to be very user friendly. In fact, many people who have previous experience with graphing calculators find that they can become quite proficient with the TI-83 by simply "exploring" the calculator for a day or two. The user's manual supplied with the calculator is well written, and can be used as an instruction manual or as a convenient reference in learning how to use the calculator. However, if this is your first encounter with a graphing calculator you may find the learning experience to be very frustrating! Both the calculator and the manual can be intimidating to those not familiar with this technology.
The Precalculus Trigonometry TI-83/TI-84 Tutorial was designed with all of you in mind, but primarily for those who have limited experience with graphing calculators. If you are already an experienced user, you may find within the tutorial some helpful techniques or capabilities in using the calculator that are new to you or that you had forgotten. The tutorial is structured in such a way that you can jump immediately to any topic that interests you. For the beginner, this tutorial will provide step-by-step instruction in the use of the TI-83 or TI-84 calculator that you can follow AT YOUR OWN PACE! The tutorial will lead you through each topic, providing full key sequences and screen images at each step. You can back up at any time to review the previous step. Each topic concludes with a practice quiz which provides an opportunity to test your understanding and skill development. You can choose to work through the entire tutorial, or select only those topics that interest you. Topics can be selected in any order.
The primary purpose of the tutorial is to provide instruction on the specific capabilities of the TI-83 or TI-84 that are necessary for a precalculus level Trigonometry course in which the use of a graphing calculator is required. It is not meant to be exhaustive, or to cover in detail EVERY aspect of the calculator. Rather, the goal is for you to be able to use the calculator to perform the tasks which are relevant to the material covered in such a course. The content of this tutorial is text independent, but the topics have been arranged to follow the traditional sequence in a Trigonometry text. Textbook guides are available for certain texts that align the topics in the tutorial to each section of the textbook.
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| 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 |