Sharp EL-9900 operation manual Calculations Using Math Menu Items, Degrees, Radians

Page 52

Chapter 3: Basic Calculations — Basic Keyboard

4. Calculations Using MATH Menu Items

The MATH menu contains functions used for more elaborate math concepts, such as trigonometry, logarithms, probability, and math unit/format conversions. The MATH menu items may be incorporated into your expressions.

Note: The default angle measurement unit while using the calculator’s Basic Keyboard is degrees. If you wish to work in radians, then the configuration must be changed in the SET UP menu. For more information, see page 25.

A Note about

The degree and radian systems are two of the basic methods of

Degrees and

measuring angles. There are 360 degrees in a circle, and “2-pi”

Radians

radians. 1 degree is equal to pi/180 radians. “Then, what’s this

 

pi?”, you may ask. Pi, or to use its symbol “π”, is the ratio of the

 

circumference of a circle to its diameter. The value of π is the

 

same for any circle “3.14...”, and it is believed to have an infinite

 

number of digits beyond the decimal point.

 

A CALC

 

The CALC sub-menu contains items to be used in calculations

 

containing trigonometric and logarithmic functions.

Note:

The following examples show keystrokes with keyboard shortcuts.

 

It is also possible to select a sub-menu item using the cursor

 

keys.

1sin Enters a sine function to be used in a trigonometric calculation.

Example

Calculate sine 90°.

MA19 0 E

2cos Enters a cosine function to be used in a trigonometric calcula- tion.

Example

Calculate cosine 60°.

MA26 0 E

42

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Contents EL-9900 For Your Records Introduction Their respective holdersBasic Mode Reversible KeyboardAdvanced Mode Default mode Contents Chapter Matrix Features 120 Chapter Slide Show Feature 115Chapter Chapter List Features 131 Chapter Financial Features 183Chapter Solver Feature 194 Chapter Statistics & Regression Calculations 145Chapter Option Menu 222 Chapter Programming Features 202Appendix 228 Index 265Caring for Your Calculator Getting Started Before UseUsing the Hard Cover AdjustingCalculator OFF Automatic power off function Display contrastPart Names and Functions Main UnitPower ON/OFF key Display screenReversible Keyboard Basic Operation keysGetting Started Basic Key Operations ExampleChanging the Keyboard To change KeyboardBasic → Advanced Quick Run-through Basic ModeAdvanced → Basic Set up the calculator before calculation Enter fractions Change answer 1. Press @ Mode from Fractions to Decimals How to switch the keyboard Operating the Graphing CalculatorBasic / Advanced Keyboard Basic Key Operations Standard Calculation KeysEntering numbers Number entry ExampleEntering a Negative valueCursor Basics Performing standard math calculationsMethod Editing Entries Cursor navigaTion About the InsertSecond Function Key Alpha Key Math Function keys for Basic keyboard Math Function KeysMath Function keys for Advanced keyboard Common Math Function Keys for both keyboards Examples MATH, STAT, and Prgm Menu Keys Setup Menu Calculator’s then . configurationSetup Menu Items Operating the Graphing Calculator Precedence of Calculations Error Messages 10 +Resetting the Calculator Using the reset switchSelecting the Reset within the Option menu Basic Calculations Basic Keyboard Try itProcedure ConceptArithmetic Keys PerformingAddition SubtractionWhen to leave out the ⋅ sign Entering a number with a negative valueCalculations Using Various Function Keys Specifying no common factorSpecifying a common factor Example RAA E RAB E AA +AB E Second FunctionsRAC E Example Calculations Using Math Menu Items DegreesRadians CalcNUM Abs absvalueRound roundvalue , digit number of decimals Ipart ipart valueFpart fpart value Int int valueMin minlist Max maxlistLcm lcmnatural number, natural number Gcd gcdnatural number, natural numberRemain natural number remain natural number ProbRandom random number of trial RndInt rndIntminimum value, maximum value , number of trialRndCoin rndCoin number of trial RndDice rndDice number of trialConv Angle Basic Graphing Features Basic Keyboard = 3.5 +Basic Graphing Features Basic Keyboard Explanations of Various Graphing Keys Graph BasicsZoom To select a box area to zoom Factor menu, press Eto activate the setup tool PowerFactor EXPSTO TrigRCL Basic Graphing Features Basic Keyboard Other Useful Graphing Features Following illustration shows these relationships Basic Graphing Features Basic Keyboard Basic Graphing Features Basic Keyboard Basic Graphing Features Basic Keyboard Substitution feature Example Basic Graphing Features Basic Keyboard Advanced Calculations Advanced Keyboard Various Calculation Keys Example Calculate arctangent @t1 E Calculations Using Math Menu 01 log2 log2 valueFminequation, lower limit of x, upper limit Fmaxequation, lower limit of x, upper limitDxequation, value of x , tolerance Equation, lower limit, upper limit , tolerance dx∑ expression, initial value, end value , increment Sec valueCsc value Cot valueCosh-1cosh-1value Sinh-1sinh-1valueTanh-1tanh-1value →dms value degrees →dms Rectangular/polar coordinate conversionXy→r xy→rx coordinate, y coordinate Xy→θ xy→θx coordinate, y coordinateRθ→x rθ→xr coordinate, θ coordinate Rθ→y rθ→yr coordinate, θ coordinateAdvanced Calculations Advanced Keyboard Or value a or value B Value a and value BNot not value Neg neg value Xor value a xor value BXnor value a xnor value B Conj conjcomplex numberCalculations using complex numbers Real realcomplex numberImage imagecomplex number Abs abscomplex numberFunctions available for complex number calculations More Variables Single Value Variables and List VariablesAbs, round, ipart, fpart, int Tool Menu Advanced Calculations Advanced Keyboard Setup Menu Advanced Graphing Features Advanced Keyboard Un = un-1⋅ 1 0.6 +Advanced Graphing Features Advanced Keyboard Advanced Graphing Features Advanced Keyboard Use 3 in or 4 OUT of the a Zoom to adjust the drawing size Graphing Parametric EquationsPolar Graphing Draw a graph r = 16cosθsinθGraphing Sequences Based TimeBased Web Phase-based uv, uw, or vwExample 1 n-based Graphing Time Example 2 Phase-based Graphing uv Example 3 n-1-based Graphing Web Calc Function Advanced Specific sub Menus InflecFormat Setting Advanced keyboard specific sub-menusZoom Functions Specific sub Menu items MenusHYP Setting a Window Rectangular coordinate systemParametric coordinate system Polar coordinate systemTables Setting a table 101 Draw Function Line Draw menu104 Hline VlineHLine y-value HLine ExampleTline VLine ExampleTlineequation, x-value Tline ExampleDraw Draw equationShade Shadeequation1, equation2 , lower value, upperDrawInv DrawInv equation Circle ExampleText Textcolumn, row, strings Column and row definitions for text inputPntON PntONx-coordinate, y-coordinate PntOFFx-coordinate, y-coordinatePntCHGx-coordinate, y-coordinate PxlONcolumn, rowDrawON DrawON equation number 1, .... or DrawON PxlTST PxlTSTcolumn, rowDrawOFF DrawOFF equation number 1, .... or DrawOFF StoGD StoGD number 0-9Saves the graph data Example RclGD RclGD numberStoPict StoPict number 0-9Saves the pixel data Example Substitution Feature Create a new Slide Show FeatureSlide Show Enter x 3x 1x + 2 at the first equation Playing back the newly created Slide Show Select a file Select an imageRearranging the captured images Slide Show menu SpecifyInsertion point MoveDEL RenameMatrix Features 3x + 2y + z = 2x + 3y + z = 34 x + 2y + 3z =Dimensions ProblemSelect a matrix To editEntering and Viewing a Matrix Enter elements Editing keys and functionsMatrix Normal Matrix Operations Matrix + Matrix Matrix Matrix Matrix ⋅ Matrix SquareCalculations using OPE menus Special Matrix OperationsDim dimmatrix name Fill fillvalue, matrix nameIdentity identity dimension value Cumul cumul matrix nameAugment augmentmatrix name, matrix name Rndmat rndmatnumber of row, number of columnRowplus rowplusmatrix name, row number, row number Rowswap rowswapmatrix name, row number, row numberRowmult rowmultmultiplied number, matrix name, row number Mat→listmatrix name, column number, list name Mat→listmatrix name, list name 1, ..., list name nList→mat list→matlist 1, .... list n, matrix name Calculations using Math menus Det det matrix nameTrans trans matrix name RowEF rowEF matrix nameUse of menus An expressionConcept Procedure List FeaturesEnter each speed value in the list Store the list Equation usingEnter Creating a list Normal List OperationsCalculate Press @+@ Root of L2 Calculations using the OPE menu functions Special List OperationsSortA sortAlist name SortD sortDlist nameNatural number ⇒ dimlist name Dim dimlistFill fillvalue, list Cumul cumul list Dflist dflist listAugment augmentlist 1, list List→mat list→matlist 1, ..., list n, matrix nameMean meanlist , frequency list Sum sumlist , start number, end number Median medianlist , frequency listProd prodlist , start number, end number Drawing multiple graphs using the list function Standard deviation and varianceStdDv stdDvlist , frequency list Varian varianlist , frequency listUsing Ldata functions StoLD StoLD natural numberHow to enter the list Using List Table to Enter or Edit ListsRclLD RclLD natural number How to edit the list Opening the list Press S Table to enter Statistics & Regression CalculationsData Statistics & Regression Calculations Setting Graph drawingSelecting Whether148 Statistics Features Stat menusStatistical evaluations available under the C Calc menu Statistical calculations using the Sunday data L2 Statistical calculations using the Monday data L3152 Statistical graph types overview chart Graphing the statistical dataGraph Types HistogramNormal probability plot N.P Normal distribution plot N.D Box plot Box Modified box plot MBox Pie chart PIE Scatter diagram S.D XY Line Xyline Statistical plotting on/off function Specifying statistical graph and graph functionsPress DD Limit and press 22 LimON Tracing Trace function of statistical graphsGraph Data list operations SortA sortAlistSortD sortDlist SetList SetList list name 1 , list nameRegression Calculations 161 162 15 x’ value or list x’ Using Regression Functions16 y’ value or list y’ Press #CSD0404 Rgx2 Statistical Hypothesis Testing AboutResidual list Start a statisti Cal test Press see TestZint1prop and 15 Zint2prop 167 168 169 170 171 172 Ztest1prop Tests the success probability P0 of a population 174 175 176 Distribution functions InvNorm InvNormprobability , mean, standard deviation CdfT cdfTlower limit, upper limit, degree of freedom 07 cdfχ2 cdfχ2lower limit, upper limit, degree of freedomFreedom of denominator 181 Cdfpoi cdfpoimean, value Cdfgeo cdfgeosuccess probability, valueFinancial Features Flow diagram onDraw a cash PaperPayment due at the end of the period Payment due at the beginning of the periodSetting the payment due time Press CC Period Press 11 PmtEnd and press ESimple interest and compound interest Set the TAB FSE 2 and FIX Respectively 188 Calc functions Solvpmt N, I%, PV, FV, P/Y, C/YSlvI% N, PV, PMT, FV, P/Y, C/Y SlvPV N, I%, PMT, FV, P/Y, C/Y190 Example using the 08 Calculations Bal Bal number of payments , decimal place to round11 →Apr →Apr effective interest rate, number of settlements Conversion functions12 →Eff →Eff nominal interest rate, number of settlements Vars Menu Three Analysis Methods Equation, Newton, and Graphic Solver FeatureEquation Solver Feature Newton’s 197 198 199 Saving/Renaming Equations for Later Use Recalling a Previously Saved Equation Programming Features Creating a newProgram ExecProgramming Features Programming Hints Command or Storing aProgram line by Blank lineSetting a variable VariablesOperands Comparison operandsProgramming commands Command stringsPrgm menu PA Print character stringsRem Rem comments Key variableIs set to the corresponding numeric value as specified Following tableScrn menu PC Brnch menu PBO menu PD Setup menu PE Tab integer 0 to Format menu PF06 Y’ OFF Y’OFF 212 Splot menu PG Plt1graph type, X list name , Y list name, frequency listFlow control tools If If conditional statements Goto label nameNext WEndOther menus convenient for programming Copy menu PHVars menu Value Debugging Sample programs When an infinite Loop occursMatfill 221 Accessing the Option Menu Adjusting the screen contrastOption Menu Checking the memory usageCreated Deleting files Linking to another EL-9900 or PC225 226 Reset function Transmission between the ELReplacing Batteries AppendixHandling Replacing unit Procedures forOperation 230 Troubleshooting Guide Calculator’s power won’t turn onSaved calculator configurations are not retained Graph cannot be seenScreen images cannot be stored Slide Show Specifications Substitution features Slide Show featuresProgram features Power supplyError Codes and Error Messages Break Error Conditions Relating to Specific Tasks Financial% calculation PV calculationFV calculation PMT calculationError conditions during financial calculations Distribution functionDf = However Γs = 0 x s 1 e x dx Df Degree of freedom Arithmetic calculation Calculation RangeFunction calculation Function Calculation range ⋅ 10-99≤ x 1 ⋅ Ln x = loge Log Xy → θ = tan-1 Function Calculation range Σx 1 ⋅ Complex number calculation Catalog Feature Math menus List of Menu/Sub-menu ItemsMcalc Mnum MprobMconv MangleList menus MineqMlogic Mcomplex@lMATH @lLDATAScalc SEDIT/OPESreg Stest SdistriStat Plot menus Stat Plot mode HIST/B.L./N.P./N.D./BOX/PIE/S.D./XYLINEPLOT1/PLOT2/PLOT3/LIMIT/ON/OFF Draw menus @dDRAWZoom menus @dPOINT@dON/OFF/LINE/GDATA/PICT/SHADE ZzoomFACTOR/POWER ZHYP/STO/RCL Calc menus@kCALC Pin the Prgramming mode Prgm Pin the Prgramming mode BrnchSlide Show menus Prgm menusPin the Prgramming mode I/O Pin the Prgramming mode ScrnPin the Prgramming mode Setup Pin the Prgramming mode Format Pin the Prgramming mode SplotPin the Prgramming mode Copy Matrix menus@mNAME @mEDIT@mMATH Finance menus@gSOLVER/CALC Tool menus @gPERIOD@gVARS @VN BASE/SYSTEM/POLY@in the Solver mode METHOD/EQTN/SAVE/RENAME Solver menusIndex 266 267 268 269 270 271 272 Europe Sharp Corporation
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EL-9900 specifications

The Sharp EL-9900 is a remarkable scientific calculator that exhibits a fusion of advanced features, cutting-edge technology, and an ergonomic design tailored for both students and professionals. One of the standout characteristics of the EL-9900 is its extensive range of functions, boasting over 550 built-in calculations that cover various mathematical and scientific disciplines. This calculator is particularly popular among engineering and physics students due to its ability to handle complex calculations with ease.

One of the key features of the EL-9900 is its 2-line display, which allows users to view both the input and the result simultaneously. This dual display enhances usability, especially when dealing with intermediate steps in calculations. The calculator also includes a built-in 12-digit LCD screen, which ensures clarity and precision in reading numbers, making it easier for users to work for extended periods without straining their eyes.

The EL-9900 is equipped with a wide array of mathematical functions, including trigonometric, logarithmic, and exponential functions. Notably, it supports fraction calculations, statistical analyses, and unit conversions. Its advanced programming capabilities, such as 36 programmable functions and the ability to store data, further enhance its functionality, allowing users to create custom calculations tailored to specific needs.

One of the more modern technologies incorporated into the EL-9900 is its solar-powered function, which is complemented by a battery backup, ensuring that the device remains operable in varied lighting conditions. This environmentally friendly design reduces the need for frequent battery replacements, making it a cost-effective choice for users.

In terms of design, the Sharp EL-9900 boasts a slim profile and lightweight construction, which makes it portable and easy to carry. Its durable casing ensures that it can withstand the rigors of daily use, whether in a classroom setting or a professional environment.

Overall, the Sharp EL-9900 stands out as a versatile scientific calculator packed with features designed to meet the needs of students and professionals alike. Its robust functionality, clear display, and user-friendly design make it a reliable tool for anyone engaged in mathematical and scientific pursuits. Whether used for basic calculations or advanced problem-solving, the EL-9900 remains a powerhouse in the realm of scientific calculators.