User Manual
Page 1
Copyright © 1997, 2001 by Texas Instruments Incorporated TI-86 GRAPHING CALCULATOR GUIDEBOOK TI-GRAPH LINK, Calculator-Based Laboratory, CBL, CBL 2, Calculator-Based Ranger, CBR, Constant Memory, Automatic Power Down, APD, and EOS are trademarks of Microsoft Corporation. Windows is a registered trademark of Apple Computer, Inc. IBM is a registered trademark of International Business Machines Corporation Macintosh is a registered trademark of Texas Instruments Incorporated.
Copyright © 1997, 2001 by Texas Instruments Incorporated TI-86 GRAPHING CALCULATOR GUIDEBOOK TI-GRAPH LINK, Calculator-Based Laboratory, CBL, CBL 2, Calculator-Based Ranger, CBR, Constant Memory, Automatic Power Down, APD, and EOS are trademarks of Microsoft Corporation. Windows is a registered trademark of Apple Computer, Inc. IBM is a registered trademark of International Business Machines Corporation Macintosh is a registered trademark of Texas Instruments Incorporated.
User Manual
Page 3
Table of Contents TI-86 Quick Start 1 Preparing to Use Your New TI-86 2 Installing the AAA Batteries 2 Turning On and Turning Off the TI-86 2 Adjusting the Contrast 2 Resetting All Memory and Defaults 3 Calculating on the Home Screen 3 Calculating the Sine of a Number 3 Storing the Last Answer to a Variable 3 Using ...In on a Portion of the Graph Screen 14 Chapter 1: Operating the TI-86 15 Installing or Replacing Batteries 16 When to Replace Batteries 16 Turning On and Turning Off the TI-86 17 Adjusting the Display Contrast 17 The Home Screen 18 Displaying Entries ...
Table of Contents TI-86 Quick Start 1 Preparing to Use Your New TI-86 2 Installing the AAA Batteries 2 Turning On and Turning Off the TI-86 2 Adjusting the Contrast 2 Resetting All Memory and Defaults 3 Calculating on the Home Screen 3 Calculating the Sine of a Number 3 Storing the Last Answer to a Variable 3 Using ...In on a Portion of the Graph Screen 14 Chapter 1: Operating the TI-86 15 Installing or Replacing Batteries 16 When to Replace Batteries 16 Turning On and Turning Off the TI-86 17 Adjusting the Display Contrast 17 The Home Screen 18 Displaying Entries ...
User Manual
Page 4
...Expressions 25 Using an Instruction 25 Entering Functions, Instructions, and Operators 25 Entering Consecutive Entries 26 The Busy Indicator 26 Interrupting a Calculation or Graph 26 Diagnosing an Error 27 Correcting an Error 27 Reusing Previous Entries and the Last Answer 28 Retrieving the Last Entry... 29 Clearing the ENTRY Storage Area 29 Retrieving the Last Answer 29 Using Ans Preceding a Function 30 Storing Results to a Variable 30 Using TI-86 Menus 31 Displaying a Menu 31 The Menu Keys 32 Selecting a Menu Item 32 Exiting (Removing) a Menu 33 Viewing and Changing Modes ...
...Expressions 25 Using an Instruction 25 Entering Functions, Instructions, and Operators 25 Entering Consecutive Entries 26 The Busy Indicator 26 Interrupting a Calculation or Graph 26 Diagnosing an Error 27 Correcting an Error 27 Reusing Previous Entries and the Last Answer 28 Retrieving the Last Entry... 29 Clearing the ENTRY Storage Area 29 Retrieving the Last Answer 29 Using Ans Preceding a Function 30 Storing Results to a Variable 30 Using TI-86 Menus 31 Displaying a Menu 31 The Menu Keys 32 Selecting a Menu Item 32 Exiting (Removing) a Menu 33 Viewing and Changing Modes ...
User Manual
Page 10
x TI-86 Table of Contents The MATRX (Matrix) Menu 178 The MATRX NAMES Menu 178 Creating a Matrix in the Matrix Editor 178 The Matrix Editor Menu 179 ... Using Mathematical Functions with Matrices 185 Chapter 14: Statistics 187 Statistical Analysis on the TI-86 188 Setting Up a Statistical Analysis 188 The STAT (Statistics) Menu 188 Entering Statistical Data 189 The LIST NAMES Menu 189 The STAT CALC (Calculations) Menu 189 Automatic Regression Equation Storage 191 Results of a Statistical Analysis 192 The...
x TI-86 Table of Contents The MATRX (Matrix) Menu 178 The MATRX NAMES Menu 178 Creating a Matrix in the Matrix Editor 178 The Matrix Editor Menu 179 ... Using Mathematical Functions with Matrices 185 Chapter 14: Statistics 187 Statistical Analysis on the TI-86 188 Setting Up a Statistical Analysis 188 The STAT (Statistics) Menu 188 Entering Statistical Data 189 The LIST NAMES Menu 189 The STAT CALC (Calculations) Menu 189 Automatic Regression Equation Storage 191 Results of a Statistical Analysis 192 The...
User Manual
Page 13
TI-86 Quick Start Preparing to Use Your New TI-86 2 Calculating on the Home Screen 3 Plotting Functions on the Graph Screen 9 TI -86 M1 M2 M3 M4 M5 F1 F2 F3 F4 F5
TI-86 Quick Start Preparing to Use Your New TI-86 2 Calculating on the Home Screen 3 Plotting Functions on the Graph Screen 9 TI -86 M1 M2 M3 M4 M5 F1 F2 F3 F4 F5
User Manual
Page 14
... and hold $ or # (above or below ). 2 Quick Start After about four minutes of inactivity, the TI-86 turns off the calculator, press -, and then the key under OFF, which is ^. Arrange the batteries according to Use Your New TI-86 The brief examples in the battery compartment. Preparing to the polarity (+ and N) diagram in the...
... and hold $ or # (above or below ). 2 Quick Start After about four minutes of inactivity, the TI-86 turns off the calculator, press -, and then the key under OFF, which is ^. Arrange the batteries according to Use Your New TI-86 The brief examples in the battery compartment. Preparing to the polarity (+ and N) diagram in the...
User Manual
Page 15
... the Home Screen To replicate the screens shown in a fraction. Otherwise, the screens your TI-86 shows may need to clear the screen (except before the entry retrieval and integer-part examples). Calculating the Sine of the expression sine(pà4) is displayed. D -~F4E b Storing the Last... reset. You may differ from the screens pictured next to the screen. When the TI-86 evaluates an expression, it automatically stores the answer to the next line, ready for a new entry. Calculating on the home screen, confirming that all memory and defaults once before ¶. (...
... the Home Screen To replicate the screens shown in a fraction. Otherwise, the screens your TI-86 shows may need to clear the screen (except before the entry retrieval and integer-part examples). Calculating the Sine of the expression sine(pà4) is displayed. D -~F4E b Storing the Last... reset. You may differ from the screens pictured next to the screen. When the TI-86 evaluates an expression, it automatically stores the answer to the next line, ready for a new entry. Calculating on the home screen, confirming that all memory and defaults once before ¶. (...
User Manual
Page 28
...places brackets ( ã and ä ) around the word above the AAA batteries. If you can turn on the calculator. Installing or Replacing Batteries Your new TI-86 includes four AAA alkaline batteries. You must install them before you do not remove the lithium battery unless four fresh AAA ... in place. Replace the lithium backup battery about every three or four years. Eventually, the TI-86 will turn it off automatically and will continue to press. Generally, the calculator will not operate until the latch snaps closed. When to Replace Batteries When the AAA batteries...
...places brackets ( ã and ä ) around the word above the AAA batteries. If you can turn on the calculator. Installing or Replacing Batteries Your new TI-86 includes four AAA alkaline batteries. You must install them before you do not remove the lithium battery unless four fresh AAA ... in place. Replace the lithium backup battery about every three or four years. Eventually, the TI-86 will turn it off automatically and will continue to press. Generally, the calculator will not operate until the latch snaps closed. When to Replace Batteries When the AAA batteries...
User Manual
Page 29
... a new CR1616 or CR1620 battery according to continue the adjustment. Turning On and Turning Off the TI-86 To turn off the TI-86 manually, press - . APD turns off the calculator, the TI-86 will return as you left it was last displayed. ♦ If Automatic Power DownTM (APDTM) ...previously had turned off the calculator by the Constant MemoryTM feature. Any error condition is cleared. Adjusting the ...
... a new CR1616 or CR1620 battery according to continue the adjustment. Turning On and Turning Off the TI-86 To turn off the TI-86 manually, press - . APD turns off the calculator, the TI-86 will return as you left it was last displayed. ♦ If Automatic Power DownTM (APDTM) ...previously had turned off the calculator by the Constant MemoryTM feature. Any error condition is cleared. Adjusting the ...
User Manual
Page 36
When you press b, the expression is evaluated (regardless of the cursor location) according to calculate an answer. When you press #, $, b, or ., the TI-86 evaluates the expression and replaces it , you can use an expression to enter the value. You can use an...2 log 45 and then evaluate it with the result. For example, pr2, 5 tan xStat, and 40((L5+3)N(2+3)) are expressions. 24 Chapter 1: Operating the TI-86 Entering Expressions and Instructions Entering an Expression An expression is any combination of -evaluation rules (Appendix), and the answer is displayed. To enter an expression...
When you press b, the expression is evaluated (regardless of the cursor location) according to calculate an answer. When you press #, $, b, or ., the TI-86 evaluates the expression and replaces it , you can use an expression to enter the value. You can use an...2 log 45 and then evaluate it with the result. For example, pr2, 5 tan xStat, and 40((L5+3)N(2+3)) are expressions. 24 Chapter 1: Operating the TI-86 Entering Expressions and Instructions Entering an Expression An expression is any combination of -evaluation rules (Appendix), and the answer is displayed. To enter an expression...
User Manual
Page 38
...menu are displayed. ♦ To return to the home screen, select QUIT (press *). ♦ To go to the screen, press X. 26 Chapter 1: Operating the TI-86 In the example, the ¶ symbol indicates that you pressed - w / / * & & b to paste yMin to right and displays the result of the...you press b, the TI-86 executes each from left to the cursor location as the busy indicator in progress, press ^. To paste ¶ to the beginning of the last expression or instruction. Press b to the cursor location, you wanted xMin. Once the symbol is calculating or graphing, a moving...
...menu are displayed. ♦ To return to the home screen, select QUIT (press *). ♦ To go to the screen, press X. 26 Chapter 1: Operating the TI-86 In the example, the ¶ symbol indicates that you pressed - w / / * & & b to paste yMin to right and displays the result of the...you press b, the TI-86 executes each from left to the cursor location as the busy indicator in progress, press ^. To paste ¶ to the beginning of the last expression or instruction. Press b to the cursor location, you wanted xMin. Once the symbol is calculating or graphing, a moving...
User Manual
Page 42
... that requires a preceding argument, the TI-86 automatically enters Ans as the argument. ᕡ Enter and execute an expression. ᕢ Enter a function without an argument. If you begin an expression by 4.2 meters. b ᕢ Calculate the yield per square meter if the... 2 b M 9 ` 9 b Storing Results to a Variable ᕡ Calculate the area of a circle with radius 5 meters. ᕢ Calculate the volume of a cylinder of 147 tomatoes. Ans is evaluated, the TI-86 calculates the result using the value stored in Ans. ᕡ Calculate the area of a garden plot 1.7 meters 1 ` 7 M 4 `...
... that requires a preceding argument, the TI-86 automatically enters Ans as the argument. ᕡ Enter and execute an expression. ᕢ Enter a function without an argument. If you begin an expression by 4.2 meters. b ᕢ Calculate the yield per square meter if the... 2 b M 9 ` 9 b Storing Results to a Variable ᕡ Calculate the area of a circle with radius 5 meters. ᕢ Calculate the volume of a cylinder of 147 tomatoes. Ans is evaluated, the TI-86 calculates the result using the value stored in Ans. ᕡ Calculate the area of a garden plot 1.7 meters 1 ` 7 M 4 `...
User Manual
Page 48
36 Chapter 1: Operating the TI-86 Vector modes do not affect how you enter vectors. The value stored to differentiate numerically and calculate the value for an expression (dxNDer is more accurate than dxNDer, but more kinds of functions are valid in the expression) ... and ãr ±q ±fä for three-element vectors Differentiation Modes dxDer1 (exact differentiation) Uses der1 (Chapter 3) to differentiate exactly and calculate the value for each function in an expression (dxDer1 is less accurate than dxDer1, but it restricts the kinds of functions that are valid in...
36 Chapter 1: Operating the TI-86 Vector modes do not affect how you enter vectors. The value stored to differentiate numerically and calculate the value for an expression (dxNDer is more accurate than dxNDer, but more kinds of functions are valid in the expression) ... and ãr ±q ±fä for three-element vectors Differentiation Modes dxDer1 (exact differentiation) Uses der1 (Chapter 3) to differentiate exactly and calculate the value for each function in an expression (dxDer1 is less accurate than dxDer1, but it restricts the kinds of functions that are valid in...
User Manual
Page 60
... mathematical functions are valid arguments for each function. When you use these functions, refer to the A to a power) p (constant pi; 3.1415926535898) inverse of results calculated on the TI-86 keyboard. Keyboard Mathematical Functions You can use lists, vectors, or matrices, the valid functions return a list of cosine) tanL1 (arctangent; If you use some...
... mathematical functions are valid arguments for each function. When you use these functions, refer to the A to a power) p (constant pi; 3.1415926535898) inverse of results calculated on the TI-86 keyboard. Keyboard Mathematical Functions You can use lists, vectors, or matrices, the valid functions return a list of cosine) tanL1 (arctangent; If you use some...
User Manual
Page 77
... (1 divided by 3, truncated to 0, and then added to 7). For example, in a mode setting other than Dec, the TI-86 performs integer mathematics, truncating to know the rate of speed in : 325mile4kmà4hr4hr Number Bases The number base mode setting (...Chapter 1) controls how the TI-86 interprets an entered number and displays results on the home screen, you can return this expression: (325à4)... a car travels 325 miles in 4 hours, and you want to an integer after every calculation and expression.
... (1 divided by 3, truncated to 0, and then added to 7). For example, in a mode setting other than Dec, the TI-86 performs integer mathematics, truncating to know the rate of speed in : 325mile4kmà4hr4hr Number Bases The number base mode setting (...Chapter 1) controls how the TI-86 interprets an entered number and displays results on the home screen, you can return this expression: (325à4)... a car travels 325 miles in 4 hours, and you want to an integer after every calculation and expression.
User Manual
Page 84
You must enter commas to separate list elements. the result is tanL1(imaginaryàreal) Returns angle (where Lp 72 Chapter 4: Constants, Conversions, Bases, and Complex Numbers Select { and } from the LIST menu. angle (real,imaginary) angle (magnitude±angle) complexValue4Rec complexValue 4Pol Returns the polar angle of a complex number, list, vector, or matrix calculated as tanL1 (imaginaryàreal) (adjusted by p in the second quadrant or Lp in the third quadrant);
You must enter commas to separate list elements. the result is tanL1(imaginaryàreal) Returns angle (where Lp 72 Chapter 4: Constants, Conversions, Bases, and Complex Numbers Select { and } from the LIST menu. angle (real,imaginary) angle (magnitude±angle) complexValue4Rec complexValue 4Pol Returns the polar angle of a complex number, list, vector, or matrix calculated as tanL1 (imaginaryàreal) (adjusted by p in the second quadrant or Lp in the third quadrant);
User Manual
Page 147
.... Setting the Graph Screen Window Variables To display the differential equation window editor, select WIND from the GRAPH menu (6 '). When the TI-86 calculates a differential equation system, it references all equations in terms of the independent variable t andàor Q'. However, you cannot enter ..., tStep, and tPlot are available in DifEq mode. ♦ difTol (RK) and EStep (Euler) are available in Q'3, the calculator returns an error. The TI-86 allows you can refer to solve an equation defined in DifEq mode. For example, if Q'1 and Q'2 are not defined, but ...
.... Setting the Graph Screen Window Variables To display the differential equation window editor, select WIND from the GRAPH menu (6 '). When the TI-86 calculates a differential equation system, it references all equations in terms of the independent variable t andàor Q'. However, you cannot enter ..., tStep, and tPlot are available in DifEq mode. ♦ difTol (RK) and EStep (Euler) are available in Q'3, the calculator returns an error. The TI-86 allows you can refer to solve an equation defined in DifEq mode. For example, if Q'1 and Q'2 are not defined, but ...
User Manual
Page 176
...editor, or in step 3, and then edit the formula. When you attempt to display the list to which the formula is displayed, the TI-86 takes slightly longer to execute the edit or entry. Executing and Displaying Attached Formulas An attached formula must resolve to the left or right or...corresponding element in any of formulas that has a formula attached to it. ᕤ Attach the formula and generate the list. ♦ The TI-86 calculates each list name that resolve to which the formula is attached. To reduce this effect, move lists with formulas off the current threecolumn display, ...
...editor, or in step 3, and then edit the formula. When you attempt to display the list to which the formula is displayed, the TI-86 takes slightly longer to execute the edit or entry. Executing and Displaying Attached Formulas An attached formula must resolve to the left or right or...corresponding element in any of formulas that has a formula attached to it. ᕤ Attach the formula and generate the list. ♦ The TI-86 calculates each list name that resolve to which the formula is attached. To reduce this effect, move lists with formulas off the current threecolumn display, ...
User Manual
Page 409
... nDeriv(A2,A,6), are evaluated as > or 8th Logic operator and 9th Logic operators or and xor Implied Multiplication The TI-86 recognizes implied multiplication, so you need not press M to right. Calculations within parentheses are evaluated first, and then EOS evaluates functions within an expression in the expression 4(1+2), EOS evaluates 1+2 inside a pair...
... nDeriv(A2,A,6), are evaluated as > or 8th Logic operator and 9th Logic operators or and xor Implied Multiplication The TI-86 recognizes implied multiplication, so you need not press M to right. Calculations within parentheses are evaluated first, and then EOS evaluates functions within an expression in the expression 4(1+2), EOS evaluates 1+2 inside a pair...
User Manual
Page 410
... after list names, matrix names, or equation function names are closed automatically at the end of some functions is also true for which the TI-86 calculates or plots. and the operations dyàdx, dràdq, dyàdt, dxàdt, INFLC, TANLN, and ARC, all in... Also, you can enter tol directly and select d from the CATALOG. d defines the step size the TI-86 uses to tol or d on the home screen or in dxNDer mode; The value stored to d must be a positive real number. TOL (The Tolerance Editor) - ™ ) On the TI-86, the computational accuracy of an expression.
... after list names, matrix names, or equation function names are closed automatically at the end of some functions is also true for which the TI-86 calculates or plots. and the operations dyàdx, dràdq, dyàdt, dxàdt, INFLC, TANLN, and ARC, all in... Also, you can enter tol directly and select d from the CATALOG. d defines the step size the TI-86 uses to tol or d on the home screen or in dxNDer mode; The value stored to d must be a positive real number. TOL (The Tolerance Editor) - ™ ) On the TI-86, the computational accuracy of an expression.