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Ten Algebraic Trig Calculators

 

Created By David@TechForText.com, 2010

To contact the author use the above email address, or

Left click on these words for a website communication form.

 

This website provides ten free algebraic trigonometry calculation devices, in the online JavaScript, and spreadsheet formats.  The online versions of the calculators are embedded in this webpage, below this introduction.  If you want the spreadsheet versions, or additional information, scroll all the way down beneath the online Calculators.

 

Instructions

 

To use any of the ten Calculators enter numbers in the set of white input boxes, associated with the Calculator you are using.  To enter or delete numbers you must first left click with the mouse on the relevant white input box.  Each calculator functions independently, and numbers entered for one calculator do not cause calculations in the other calculators.

 

For calculated results, left click with the mouse on the background, (anywhere except on the white input boxes.)  Alternatively, for the online JavaScript version you can press the calculation button, and for the spreadsheet version you can press the enter key.

 

Before all the numbers are entered into a Calculator, you may see error messages.  If the user enters numbers that do not satisfy an equation error messages will also be displayed.

 

Each Calculator has an error checking device, which functions by substituting the calculated result into the unsolved version of the equation.  If the left and right sides of the equation result in numbers that are equal, the device displays the words No error.  If this is not the case, the device displays the word: Error.

 

Note: The embedded page (below) with the Calculators is equivalent to a 10 page document. To see all of the Calculators you must scroll all the way down.

 

If you want a printer friendly version of the Calculator left click on these words.  (If you print the version presented below, Everything on this webpage will be printed.)

                           
  All the calculations for the error-checking are rounded to    
  decimal places. You can change this  
  by deleting the blue number (on the upper left) and entering  
  the number of decimal places you prefer. If you enter a number  
  that is excessively high you may get error messages when  
  there are no errors. are no errors.  
 

 

 
  Trig Calculator 1 Solves the Following Equation for X  
                                                      
  A*B*Tan(X)+A*(Sin(D))n+B*(Cos(D))n = M
 
  Coefficient: A =  
  Coefficient: B =  
  n is an exponent: n =  
  See equation above: M =  
  Angle D Degrees =  
  Calculated results are in red type below  
  Angle D in radians =  
  Spreadsheet formula for the above is =RADIANS(D_in_Degrees)  
  Tan(X) =  
  Spreadsheet formula for the above is =(M-(A*(SIN((D)))^n+B*(COS(D))^n))/(A*B)  
  Radians X =  
  Spreadsheet formula for the above is =ATAN(TanX)  
  Degrees X =  
  Spreadsheet formula for the above is =DEGREES(X)  
  The Calculator checks its results by substituting the calculated values into  
  the equation: A*B*Tan(X)+A*(Sin(D))n+B*(Cos(D))n = M If the value the user  
  entered for M is the same as the calculated value for M, the results are accurate.  
  To prevent rounding errors the following is rounded to decimal places.  
  Calculated_value_for_M =  
  Spreadsheet formula for above =ROUND(A*B*TAN(X)+A*(SIN(D))^n+B*(COS(D))^n, Rr)  
  Value user entered for M =  
  Spreadsheet formula for the above is =ROUND(M, Rr)  
   
  Spreadsheet formula for above =IF(CalcForM=UserForM,"No Errors","Error")  
     
 

   

 
  Trig Calculator 2 Solves the Following Equation for X.  
                                                       
  A.*Tan(X.)+B.*(Tan(D.))n. = M.  
  Coefficient: A. =  
  Coefficient: B. =  
  Exponent: n. =  
  See equation above: M. =  
  Angle D._in_ Degrees =  
  Calculated results are in red type below  
  Angle D. in radians =  
  Spreadsheet formula for the above is =RADIANS(D._in_Degrees)  
  Tan(X.) =  
  Spreadsheet formula for the above is =(M.-(B.*(TAN(D.))^n.) )/A.  
  Radians X. =  
  Spreadsheet formula for the above is = ATAN( (M.-(B.*(TAN(D.))^n.) )/A.)  
  Degrees X. =  
  Spreadsheet formula for the above is =DEGREES(X.)  
  The Calculator checks its results below, by substituting the calculated values into  
  the equation: A.*(Tan(X.))^n+B.*(Cot(D.))^n = M. If the value the user entered  
  for M. is the same, as the calculated value for M. the results are accurate.  
  To prevent rounding errors the following is rounded to decimal places.  
  Calculated value for M. =  
  Spreadsheet formula for the above is =ROUND(A.*TAN(X.)+B.*(TAN(D.))^n.,Rr)  
  Value user entered M. =  
  Spreadsheet formula for the above is =ROUND(M., Rr)  
   
  Spreadsheet formula for =IF(CalcForM.=UserForM.,"No Errors","Error")  
     
 

 
  Trig Calculator 3 Solves the Following Equation for X_  
                                                      
  TAN(X_)+A_*(SIN(d_))n_+B_*(COS(d_))n_ = M_  
  Coefficient:A_ =  
  Coefficient:B_ =  
  Exponent: n_ =  
  See equation above: M_ = 2
  Angle d in Degrees =  
  Calculated results are in red type below  
  Angle d_ in Radians =  
  Spreadsheet formula for the above is =RADIANS(Angle_d_in_Degrees)  
  Tan(X_) =  
  Spreadsheet formula for the above is = M_-(A_*(SIN(d_))^n_+B_*(COS(d_))^n_ )  
  Radians X_ =  
  Spreadsheet formula for the above is =ATAN(TanX_)  
  Degrees X_ =  
  Spreadsheet formula for the above is =DEGREES(X_)  
  Results are checked below by substituting calculated values into the equation:  
  TAN(X_)+A_*(SIN(d_))n_+B_*(COS(d_))n_ = M_ If the value the user entered  
  for M_ is the same, as the calculated value for M_, the results are accurate.  
  To prevent rounding errors the following is rounded to decimal places.  
  Calculated value for M_ =  
  Spreadsheet formula for above=ROUND(TAN(X_)+A_*(SIN(d_))^n_+B_*(COS(d_))^n_,Rr)  
  Value the user entered for M_ =  
  Spreadsheet formula for above =ROUND(M_, Rr)  
   
  Spreadsheet formula for above =IF(CalcForM_=UserForM_,"No Errors","Error")  
     
 

  

 
  Trig Calculator 4 Solves the Following Equation for Xa  
                                                      
  Aa*(Tan(Xa))Ea+Ba*(SIN(Ca))Ea +Ba*(COS(Ca))Ea = Sa  
  Coefficient: Aa =  
  Coefficient:Ba =  
  Exponent:Ea =  
  See equation above: Sa =  
  Angle_Ca_Degrees =  
  Calculated results are in red type below  
  Angle Ca in radians =  
  Spreadsheet formula for the above is =RADIANS(Angle_Ca_Degrees)  
  Tan(Xa) =  
  Spreadsheet formula above =((Sa-(Ba*(SIN(Ca))^Ea +Ba*(COS(Ca))^Ea) )/Aa )^(1/Ea)  
  Radians Xa =  
  Spreadsheet formula for the above is =ATAN(TanXa)  
  Degrees Xa =  
  Spreadsheet formula for the above is =DEGREES(Xa)  
  The Calculator checks its results by substituting the calculated values  
  into the equation: Aa*(TAN(Xa))Ea+Ba*(SIN(Ca))Ea +Ba*(COS(Ca))Ea = Sa  
  If the value the user entered for Sa is the same as  
  the calculated value for Sa, the results are accurate.
 
  To prevent rounding errors the following is rounded to decimal places.  
  Calculated value for Sa =  
  Spreadsheet formula for above:  
  =ROUND(Aa*(TAN(Xa))^Ea+Ba*(SIN(Ca))^Ea+Ba*(COS(Ca))^Ea, Rr)  
  Value entered for Sa =  
  Spreadsheet formula for the above is =ROUND(Sa, Rr)  
   
  Spreadsheet formula for Error-Checking is=IF(G116=G117,"No Errors","Error")  
     

   

  Trig Calculator 5 Solves the Following Equation for Xb  
                                                      
  Bb*Ab*Tan(Xb)=Sb  
  Coefficient: Ab =  
  Coefficient:Bb =  
  See equation above: Sb =  
  Calculated results are in red type below  
  TAN(Xb) =  
  Spreadsheet formula for the above is =Sb/(Bb*Ab)  
  Radians Xb =  
  Spreadsheet formula for the above is =ATAN(TanXb)  
  Degrees Xb =  
  Spreadsheet formula for the above is =DEGREES(Xb)  
  The Calculator checks results below by substituting calculated values
 
  into the equation: Bb*Ab*Tan(Xb)=Sb If the value the user entered for  
  Sa is the same as the calculated value for Sa, the results are accurate.  
  To prevent rounding errors the following is rounded to decimal places.  
  Calculated value for Sb =  
  Spreadsheet formula for above =ROUND(Bb*Ab*TAN(Xb), Rr)  
  Value entered by user for  
  Spreadsheet formula for above =ROUND(Sb, Rr)  
   
  Spreadsheet formula for above =IF(CalcForSb=UserForSb,"No Errors","Error")  
 

 
  Trig Calculator 6 Solves the Following Equation for Xc  
                                                     
  Ec*( Tan(Xc)+SIN(Cc) ) = Sc  
  Coefficient:Ec =  
  See equation above: Sc =  
  Angle Cc in Degrees =  
  Calculated results are in red type below  
  Angle Cc in radians =  
  Spreadsheet formula for the above is =RADIANS(Angle_Cc_in_Degrees)  
  Tan(Xc) =  
  Spreadsheet formula for the above is =(Sc/Ec)-SIN(Cc)  
  Radians Xc =  
  Spreadsheet formula for the above is =ATAN(TanXc)  
  Degrees Xc =  
  Spreadsheet formula for the above is =DEGREES(Xc)  
  The Calculator checks results by substituting calculated values into the equation:
 
  Tan(Xc)*( SIN(Cc)*COS(Cc) )(SIN(Cc)*Ec ) = Sc If the value the user entered  
  for Sc is the same, as the calculated value for Sc, the results are accurate.  
  To prevent rounding errors the following is rounded to decimal places.  
  Calculated value for Sc =  
  Spreadsheet formula for above is =ROUND(Ec*(TAN(Xc)+ SIN(Cc)),Rr)  
    Sc=  
  Spreadsheet formula for the above =ROUND(Sc, Rr)  
   
  Spreadsheet formula for above is =IF(CalcForSc=UserForSc,"No Errors","Error")  
     
 

  

 
  Trig Calculator 7 Solves the Following Equation for Xd  
                                                     
  Xd (SIN(Cd)+COS(Cd)) = Sd  
  See equation above: Sd =  
  Angle_Cd_in_Degrees =  
  Calculated results are in red type below  
  Angle Cd in radians =  
  Spreadsheet formula for the above is =RADIANS(Angle_Cd_in_Degrees)  
  Xd =  
  Spreadsheet formula for the above is =Sd^(1/(SIN(Cd)+COS(Cd)))  
  The Calculator checks its results by substituting the calculated values  
  into the equation: Xd (SIN(Cd)+COS(Cd)) = Sd If the value the user entered for  
  Sd is the same as the calculated value for Sd, the results are accurate.
 
  To prevent rounding errors the following is rounded to decimal places.  
  Calculated value for Sd =  
  Spreadsheet formula for the above =ROUND(Xd^(SIN(Cd)+COS(Cd)),Rr)  
  Value the user entered for Sd =  
  Spreadsheet formula for the above =ROUND(Sd, Rr)  
   
  Spreadsheet formula for above =IF(CalcForSd=UserForSd,"No Errors","Error")  
     
 

  

 
  Trig Calculator 8 Solves the Following Equation for Xe  
                                                       
  Be+Ae+Xe*( Sin(Ce)+Cos(Ce)+Tan(Ce) ) = Se  
  Coefficient Ae =  
  Coefficient Be =  
  See equation above Se =  
  Angle_Ce_in_Degrees =  
  Calculated results are in red type below  
  Angle Ce in radians =  
  Spreadsheet formula for the above is =RADIANS(Angle_Ce_in_Degrees)  
  Xe =  
  Spreadsheet formula for above is =((Se-(Ae+Be))/(TAN(Ce)))^(1/(SIN(Ce)+COS(Ce)))  
  Calculations are checked here, by substituting the calculated values into  
  the Ae+Be+Tan(Ce)*Xe (SIN(Ce)+COS(Ce)) = Se If the value the user entered  
  for Se is the same as the calculated value for Se, the results are accurate.  
  To prevent rounding errors the following is rounded to decimal places.  
  Calculated value for Se =  
  Spreadsheet formula for above=ROUND(Ae+Be+TAN(Ce)*Xe^(SIN(Ce)+COS(Ce)), Rr)  
  Value user entered for Se =  
  Spreadsheet formula for above =ROUND(Se, Rr)  
   
  Spreadsheet formula for above =IF(CalcForSe=UserForSe,"No Errors","Error" )  
     
 

  

 
  Trig Calculator 9 Solves the Following Equation for X  
                                                     
  Af*Bf+ Xf*( Tan(Cf)+Sin(2*Cf) ) = Sf  
  Coefficient: Af=  
  Coefficient: Bf =  
  See equation above Sf =  
  Angle_Cf_in_Degrees =  
  Calculated results are in red type below  
  Angle Cf in radians =  
  Spreadsheet formula for above is =RADIANS(Angle_Cf_in_Degrees)  
  Xf =  
  Spreadsheet formula for above is =(Sf-Af*Bf)/(TAN(Cf)+SIN(2*Cf))  
  The Calculator checks results by substituting calculated values into the
 
  equation: Af*Bf+ Xf*(Tan(Cf)+Sin(2*Cf)) = Sf If the value the user entered  
  for Sf is the same as the calculated value for Sf, the results are accurate.  
  To prevent rounding errors the following is rounded to decimal places.  
  Calculated value for Sf=  
  Spreadsheet formula for above =ROUND(Af*Bf+ Xf*(TAN(Cf)+SIN(2*Cf)),Rr)  
  Sf =  
  Spreadsheet formula for above is =ROUND(Sf, Rr)  
   
  Spreadsheet formula for =IF(CalcForSf=UserForSf,"No Errors","Error")  
     

 

  Trig Calculator 10 Solves the Following Equation for Xh  
                                                      
  XhSin(Ch) = Sh  
  See equation above: Sh =  
  Angle Ch in Degrees =  
  Calculated results are in red type below  
  Angle Ch in radians =  
  Spreadsheet formula for above is =RADIANS(Angle_Ch_in_Degrees)  
  Sin(Ch) =  
  Spreadsheet formula for above is =SIN(Ch)  
  *Note: SIN(Ch) cannot be greater than 1. This can be used  
  to limit the magnitude of exponents, when devising formulas.  
  Xh =  
  Spreadsheet formula for above is =Sh^(1/SIN(Ch))  
  The Calculator checks results by substituting the calculated values  
  into the equation: XhSin(Ch) = Sh If the value the user entered for Sh  
  is the same, as the calculated value for Sh, the results are accurate.  
  To prevent rounding errors the following is rounded to decimal places.  
  The calculated value for Sh =  
  Spreadsheet formula for the above=IF(Sh=0,"", ROUND(Xh^SIN(Ch), Rr ))  
  Sh=  
  Spreadsheet formula for the above =ROUND(Sh, Rr)  
   
  Spreadsheet formula for above =IF(CalcForSh=UserForSh,"No Errors","Error")  
 

Ten Algebraic-Trig-Calculators Created By David@TechForText.com, 2010 To contact the author use the email address.

 

                

The Software You Need for the

Algebraic Trig Calculators, and

Links to Obtain the Free Downloads

 

 

The Software You Need

 

The spreadsheet versions of the Calculators require either Microsoft Excel, or the free OpenOffice.org software package, which is available at www.OpenOffice.org.  In addition, Microsoft Windows is required for the spreadsheet versions.

      

The JavaScript version of the Calculator can run on any operating system that has JavaScript support, but I only tested it with Microsoft Windows.  In addition, the JavaScript version requires a browser that supports JavaScript.  Almost all modern operating systems and browsers support JavaScript.

 

 

Download Links for the Algebraic Trig Calculators, In the

Microsoft Excel, OpenOffice Calc, and Javascript Formats

 

If you want the Algebraic Trig Calculators in the Microsoft Excel format, left click on these words.

 

If you want the Algebraic Trig Calculators in the newer 2007 Microsoft Excel format, left click on these words.  Note, this requires Microsoft Excel 2007 or newer additions of Excel.

 

If you want the spreadsheet version that was used to create the online JavaScript versions of the Algebraic Trig Calculators left click on these words. (This requires Microsoft Excel)

 

If you want the Algebraic Trig Calculators in the OpenOffice Calc format, left click on these words.  This requires the free OpenOffice.org software package.

 

Note: If you do not have Microsoft Excel, download the OpenOffice.org software package, because it is free and it is almost as good as the Microsoft Office suite.  To download go to www.OpenOffice.org or left click on these words.

 

If you want the online JavaScript version of the Algebraic Trig Calculators in a printer friendly format, with instructions, left click on these words.

 

If you want a printer friendly JavaScript version of the Algebraic Trig Calculators with out instructions, left click on these words.

 

If you want the Algebraic Trig Calculators in all of the above formats, in a zip folder, left click on these words.

 

If you want a diverse assortment of calculation devices for algebra and trigonometry, go to the main website at www.TechForText.com/Algebra, This can be done by left clicking on these words.

 

 

Technical Information, and How the

Ten Algebraic Trig Calculators were Created

 

The Ten Algebraic Trig Calculators were initially created in Microsoft Excel.  The JavaScript versions were created from the spreadsheet versions.  This involved a conversion process, with specialized software.

 

Spreadsheet formulas were created for each Trig Calculator.  To do this the equation shown on the top of each calculator were solved for an unknown.  Then, the resulting equation was translated manually into a format that is recognized by spreadsheet software. 

 

For educational purposes, the spreadsheet formulas used for each calculation device are displayed directly on the device itself, near the location of the actual formula, which is not visible.  You may copy and/or modify these formulas, and use them for your own needs.

 

The name mechanism, in Microsoft Excel, was used to define the meaning of each symbol used in the spreadsheet formulas.  This involved defining letters in the formulas, in terms of specific input boxes.  This method results in spreadsheet formulas that more or less look similar to conventional formulas.  The alternative method uses cell designations instead of letters.  Formulas created with cell designations do not look like conventional mathematical expressions.

 

 

About this Website and

Services Offered by the Author

 

 

About This Website

 

This website was designed to maximize efficiency and ease-of-use (usability, user-friendliness).  The text is presented with relatively large fonts.  The paragraphs are short, and the sentence structure and wording were written to maximize comprehension*.  The website has a very simple layout, on a single page.  This makes it easy to navigate intuitively, by scrolling down or up.  All the links for downloads and websites are also written with large fonts, and clearly marked as links, such as with the following words: left click on these words.

 

Note: The ideas on this website and the Algebraic Trig Calculators are technical, and they require knowledge of trigonometry.  In addition, some familiarity with spreadsheets and computer technology is also needed for maximum comprehension. 

 

 

Services Offered by the Author David@TechForText.com

 

I design and build user-friendly software based calculation devices for arithmetic, accounting, currency exchange rates, algebra, trigonometry, correlations, calculus, and databases with built-in calculation devices.  I also create attractive online calculation devices for websites, and web communication forms.  This includes forms with built-in calculation devices. For a list of websites with calculation devices that I created, left click on these words, or go to the following website: www.TechForText.com/Math

 

I generally make these devices in the Microsoft Excel, OpenOffice.org, and the JavaScript formats, but I can work with other spreadsheet formats besides the above.

 

I write instructions for the devices I build.  I can also write instructions for software and computer devices created by others.  In addition, I can write advertising for your websites, products and services.

 

I can provide the services mentioned above on a fee-for-service basis, or possibly based on temporary or permanent employment.  If you are interested in my services, and want additional contact information or more data on the services I offer, you can email me at David@TechForText.com or use a website communication form, by left clicking on these words.

 

I am located in the USA.  If you are a great distance from my locality or are in another country, this is not important.  I can provide these services worldwide, because the software and websites I make can be delivered through the Internet to any locality, providing there are no governmental restrictions.

 

For a list of all the services I offer see www.TechForText.com

 

For a list of all my websites see www.David100.com

 

My resume is online at: www.David100.com/R

 

 

 

 

 

 

 

 

To return to the top of this website left click on these words