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[]
[null,null,"Ten Algebraic-Trig-Calculators\nCreated By David@TechForText.com, ©2010\nTo contact the author use the above email address,"]
[null,null,"This page has ten individual calculation devices that solve a number of algebraic equations that involve trigonometry"]
[{"$nulls":3},"Instructions"]
[null,null,"The following is equivalent to a 10 page document. To see all of the Calculators you must scroll all the way down. "]
[null,null,"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 effect calculated results from any of the other calculators. "]
[null,null,"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."]
[null,null,"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."]
[null,null,"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."]
[null,null,"All the calculations for the error-checking are rounded to"]
[null,null,5,"decimal places.  You can change this by deleting the blue  "]
[null,null,"number (on the upper left) and entering the number of decimal"]
[null,null,"places you prefer.  If you enter a number that is excessively high"]
[null,null,"you may get error messages when there are no errors."]
[]
[]
[null,null,"Trig Calculator 1 Solves the Following Equation for X"]
[null,null,"A*B*Tan(X)+A*(Sin(D))n+B*(Cos(D))n = M           \n"]
[null,null,"Coefficient:    A  ="]
[null,null,"Coefficient:    B  ="]
[null,null,"n is an exponent: n  ="]
[null,null,"See equation above: M =   "]
[null,null," Angle D Degrees  ="]
[null,null,"Calculated results are in red type below"]
[null,null,"Angle D in radians =",{"$nulls":3},0]
[null,null,"Spreadsheet formula for the above is =RADIANS(D_in_Degrees)"]
[null,null,"Tan(X)  =",{"$nulls":3},{"$error":"#NUM!"}]
[null,null,"Spreadsheet formula for the above is =(M-(A*(SIN((D)))^n+B*(COS(D))^n))/(A*B)"]
[null,null,"Radians X  =",{"$nulls":3},{"$error":"#NUM!"}]
[null,null,"Spreadsheet formula for the above is =ATAN(TanX)"]
[null,null,"Degrees X =",{"$nulls":3},{"$error":"#NUM!"}]
[null,null,"Spreadsheet formula for the above is =DEGREES(X)"]
[null,null,"  The Calculator checks its results by substituting the calculated values into"]
[null,null,"  the equation: A*B*Tan(X)+A*(Sin(D))n+B*(Cos(D))n = M  If the value the user "]
[null,null," entered for M is the same as the calculated value for M, the results are accurate. "]
[null,null,"To prevent rounding errors the following is rounded to",{"$nulls":7},5,"decimal places."]
[null,null,"Calculated_value_for_M =",{"$nulls":4},{"$error":"#NUM!"}]
[null,null,"Spreadsheet formula for above =ROUND(A*B*TAN(X)+A*(SIN(D))^n+B*(COS(D))^n, Rr)"]
[null,null,"Value user entered for M =",{"$nulls":4},0]
[null,null,"Spreadsheet formula for the above is =ROUND(M, Rr)"]
[null,null,{"$error":"#NUM!"}]
[null,null,"Spreadsheet formula for above =IF(CalcForM=UserForM,\"No Errors\",\"Error\")"]
[]
[]
[null,null,"Trig Calculator 2 Solves the Following Equation for X."]
[null,null,"A.*Tan(X.)+B.*(Tan(D.))n. = M."]
[null,null,"Coefficient: A. ="]
[null,null,"Coefficient: B. ="]
[null,null,"Exponent: n. ="]
[null,null,"See equation above: M. ="]
[null,null," Angle D._in_ Degrees ="]
[null,null,"Calculated results are in red type below"]
[null,null,"Angle D. in  radians =",{"$nulls":3},0]
[null,null,"Spreadsheet formula for the above is =RADIANS(D._in_Degrees)"]
[null,null,"Tan(X.) =",{"$nulls":3},{"$error":"#NUM!"}]
[null,null,"Spreadsheet formula for the above is  =(M.-(B.*(TAN(D.))^n.) )/A."]
[null,null,"Radians  X. =",{"$nulls":3},{"$error":"#NUM!"}]
[null,null,"Spreadsheet formula for the above is = ATAN( (M.-(B.*(TAN(D.))^n.) )/A.)"]
[null,null,"Degrees  X. = ",{"$nulls":3},{"$error":"#NUM!"}]
[null,null,"Spreadsheet formula for the above is =DEGREES(X.)"]
[null,null," The Calculator checks its results below, by substituting the calculated values into"]
[null,null,"the equation:  A.*(Tan(X.))^n+B.*(Cot(D.))^n = M.   If the value the user entered "]
[null,null,"   for M. is the same, as the calculated value for M. the results are accurate. "]
[null,null,"To prevent rounding errors the following is rounded to",{"$nulls":7},5,"decimal places."]
[null,null,"Calculated value for M. =",{"$nulls":3},{"$error":"#NUM!"}]
[null,null,"Spreadsheet formula for the above is =ROUND(A.*TAN(X.)+B.*(TAN(D.))^n.,Rr)"]
[null,null,"Value user entered M. =",{"$nulls":3},0]
[null,null,"Spreadsheet formula for the above is =ROUND(M., Rr)"]
[null,null,{"$error":"#NUM!"}]
[null,null,"Spreadsheet formula for =IF(CalcForM.=UserForM.,\"No Errors\",\"Error\")"]
[]
[]
[null,null,"Trig Calculator 3 Solves the Following Equation for X_"]
[null,null,"TAN(X_)+A_*(SIN(d_))n_+B_*(COS(d_))n_ = M_  "]
[null,null,"Coefficient:A_  ="]
[null,null,"Coefficient:B_ ="]
[null,null,"Exponent: n_  ="]
[null,null,"See equation above: M_ =",{"$nulls":11},2]
[null,null,"Angle d in Degrees ="]
[null,null,"Calculated results are in red type below"]
[null,null,"Angle d_ in Radians =",{"$nulls":3},0]
[null,null,"Spreadsheet formula for the above is =RADIANS(Angle_d_in_Degrees)"]
[null,null,"Tan(X_) =",{"$nulls":3},{"$error":"#NUM!"}]
[null,null,"Spreadsheet formula for the above is = M_-(A_*(SIN(d_))^n_+B_*(COS(d_))^n_ )"]
[null,null,"Radians X_  =",{"$nulls":3},{"$error":"#NUM!"}]
[null,null,"Spreadsheet formula for the above is =ATAN(TanX_)"]
[null,null,"Degrees X_ =",{"$nulls":3},{"$error":"#NUM!"}]
[null,null,"Spreadsheet formula for the above is =DEGREES(X_)"]
[null,null,"Results are checked below by substituting calculated values into the equation:"]
[null,null," TAN(X_)+A_*(SIN(d_))n_+B_*(COS(d_))n_ = M_  If the value the user entered "]
[null,null," for  M_ is the same, as the calculated value for M_, the results are accurate. "]
[null,null,"To prevent rounding errors the following is rounded to",{"$nulls":7},5,"decimal places."]
[null,null,"Calculated value for M_ =",{"$nulls":5},{"$error":"#NUM!"}]
[null,null,"Spreadsheet formula for above=ROUND(TAN(X_)+A_*(SIN(d_))^n_+B_*(COS(d_))^n_,Rr) "]
[null,null,"Value the user entered for M_ =",{"$nulls":5},0]
[null,null,"Spreadsheet formula for above =ROUND(M_, Rr)"]
[null,null,{"$error":"#NUM!"}]
[null,null,"Spreadsheet formula for above =IF(CalcForM_=UserForM_,\"No Errors\",\"Error\")"]
[]
[]
[null,null,"Trig Calculator 4 Solves the Following Equation for Xa"]
[null,null,"Aa*(Tan(Xa))Ea+Ba*(SIN(Ca))Ea +Ba*(COS(Ca))Ea = Sa"]
[null,null,"Coefficient: Aa  ="]
[null,null,"Coefficient:Ba  ="]
[null,null,"Exponent:Ea  ="]
[null,null,"See equation above: Sa ="]
[null,null,"Angle_Ca_Degrees ="]
[null,null,"Calculated results are in red type below"]
[null,null,"Angle Ca in radians =",{"$nulls":3},0]
[null,null,"Spreadsheet formula for the above is =RADIANS(Angle_Ca_Degrees)"]
[null,null,"Tan(Xa) =",{"$nulls":3},{"$error":"#NUM!"}]
[null,null,"Spreadsheet formula above =((Sa-(Ba*(SIN(Ca))^Ea +Ba*(COS(Ca))^Ea) )/Aa )^(1/Ea)"]
[null,null,"Radians Xa =",{"$nulls":3},{"$error":"#NUM!"}]
[null,null,"Spreadsheet formula for the above is =ATAN(TanXa)"]
[null,null,"Degrees Xa =",{"$nulls":3},{"$error":"#NUM!"}]
[null,null,"Spreadsheet formula for the above is =DEGREES(Xa)"]
[null,null," The Calculator checks its results by substituting the calculated values"]
[null,null," into the equation: Aa*(TAN(Xa))Ea+Ba*(SIN(Ca))Ea +Ba*(COS(Ca))Ea = Sa  "]
[null,null,"If the value the user entered for Sa is the same as "]
[null,null," the calculated value for Sa, the results are accurate.     \n "]
[null,null,"To prevent rounding errors the following is rounded to",{"$nulls":7},5,"decimal places."]
[null,null,"Calculated value for Sa =",{"$nulls":3},{"$error":"#NUM!"}]
[null,null,"Spreadsheet formula for above:"]
[null,null,"  =ROUND(Aa*(TAN(Xa))^Ea+Ba*(SIN(Ca))^Ea+Ba*(COS(Ca))^Ea, Rr)"]
[null,null,"Value entered for Sa =",{"$nulls":3},0]
[null,null,"Spreadsheet formula for the above is =ROUND(Sa, Rr)"]
[null,null,{"$error":"#NUM!"}]
[null,null,"Spreadsheet formula for Error-Checking is=IF(G116=G117,\"No Errors\",\"Error\")"]
[]
[]
[null,null,"Trig Calculator 5 Solves the Following Equation for Xb"]
[null,null,"Bb*Ab*Tan(Xb)=Sb"]
[null,null,"Coefficient: Ab  = "]
[null,null,"Coefficient:Bb  = "]
[null,null,"See equation above: Sb ="]
[null,null,"Calculated results are in red type below"]
[null,null,"TAN(Xb) =",{"$nulls":3},{"$error":"#DIV/0!"}]
[null,null,"Spreadsheet formula for the above is =Sb/(Bb*Ab)"]
[null,null,"Radians Xb =",{"$nulls":3},{"$error":"#DIV/0!"}]
[null,null,"Spreadsheet formula for the above is =ATAN(TanXb)"]
[null,null,"Degrees Xb =",{"$nulls":3},{"$error":"#DIV/0!"}]
[null,null,"Spreadsheet formula for the above is =DEGREES(Xb)"]
[null,null,"   The Calculator checks results below by substituting calculated values          \n"]
[null,null,"  into the equation: Bb*Ab*Tan(Xb)=Sb  If the value the user entered for "]
[null,null,"  Sa is the same as the calculated value for Sa, the results are accurate. "]
[null,null,"To prevent rounding errors the following is rounded to",{"$nulls":7},5,"decimal places."]
[null,null,"Calculated value for Sb =",{"$nulls":3},{"$error":"#DIV/0!"}]
[null,null,"Spreadsheet formula for above =ROUND(Bb*Ab*TAN(Xb), Rr)"]
[null,null,"Value entered by user for",{"$nulls":3},0]
[null,null,"Spreadsheet formula for above =ROUND(Sb, Rr)"]
[null,null,{"$error":"#DIV/0!"}]
[null,null,"Spreadsheet formula for above =IF(CalcForSb=UserForSb,\"No Errors\",\"Error\")"]
[]
[null,null,"Trig Calculator 6 Solves the Following Equation for Xc"]
[null,null,"Ec*( Tan(Xc)+SIN(Cc) )  = Sc"]
[null,null,"Coefficient:Ec ="]
[null,null,"See equation above: Sc ="]
[null,null,"Angle Cc in Degrees  ="]
[null,null,"Calculated results are in red type below"]
[null,null,"Angle Cc in radians =",{"$nulls":3},0]
[null,null,"Spreadsheet formula for the above is =RADIANS(Angle_Cc_in_Degrees) "]
[null,null,"Tan(Xc) =",{"$nulls":3},{"$error":"#DIV/0!"}]
[null,null,"Spreadsheet formula for the above is  =(Sc/Ec)-SIN(Cc)"]
[null,null,"Radians Xc =",{"$nulls":3},{"$error":"#DIV/0!"}]
[null,null,"Spreadsheet formula for the above is =ATAN(TanXc)"]
[null,null,"Degrees Xc =",{"$nulls":3},{"$error":"#DIV/0!"}]
[null,null,"Spreadsheet formula for the above is =DEGREES(Xc)"]
[null,null," The Calculator checks results by substituting calculated values into the equation:           \n"]
[null,null," Tan(Xc)*( SIN(Cc)*COS(Cc) )(SIN(Cc)*Ec ) = Sc  If the value the user entered "]
[null,null," for Sc is the same, as the calculated value for Sc, the results are accurate.  "]
[null,null,"To prevent rounding errors the following is rounded to",{"$nulls":7},5,"decimal places."]
[null,null,"Calculated value for Sc =",{"$nulls":5},{"$error":"#DIV/0!"}]
[null,null,"Spreadsheet formula for above is =ROUND(Ec*(TAN(Xc)+ SIN(Cc)),Rr)"]
[{"$nulls":7},"Sc=",0]
[null,null,"Spreadsheet formula for the above =ROUND(Sc, Rr)"]
[null,null,{"$error":"#DIV/0!"}]
[null,null,"Spreadsheet formula for above is =IF(CalcForSc=UserForSc,\"No Errors\",\"Error\")"]
[]
[]
[null,null,"Trig Calculator 7 Solves the Following Equation for Xd"]
[null,null,"Xd (SIN(Cd)+COS(Cd))   = Sd "]
[null,null,"See equation above: Sd ="]
[null,null," Angle_Cd_in_Degrees = "]
[null,null,"Calculated results are in red type below"]
[null,null,"Angle Cd in radians =",{"$nulls":3},0]
[null,null,"Spreadsheet formula for the above is =RADIANS(Angle_Cd_in_Degrees)"]
[null,null,"Xd =",{"$nulls":3},0]
[null,null,"Spreadsheet formula for the above is =Sd^(1/(SIN(Cd)+COS(Cd)))"]
[null,null,"The Calculator checks its results by substituting the calculated values "]
[null,null,"  into the equation: Xd (SIN(Cd)+COS(Cd))   = Sd  If the value the user entered for"]
[null,null,"  Sd is the same as the calculated value for Sd, the results are accurate.             \n"]
[null,null,"To prevent rounding errors the following is rounded to",{"$nulls":7},5,"decimal places."]
[null,null,"Calculated value for Sd =",{"$nulls":4},0]
[null,null,"Spreadsheet formula for the above =ROUND(Xd^(SIN(Cd)+COS(Cd)),Rr)"]
[null,null,"Value the user entered for Sd =",{"$nulls":4},0]
[null,null,"Spreadsheet formula for the above =ROUND(Sd, Rr)"]
[null,null,"No Errors"]
[null,null,"Spreadsheet formula for above =IF(CalcForSd=UserForSd,\"No Errors\",\"Error\")"]
[]
[]
[null,null,"Trig Calculator 8 Solves the Following Equation for Xe"]
[null,null,"Be+Ae+Xe*( Sin(Ce)+Cos(Ce)+Tan(Ce) ) = Se"]
[null,null,"Coefficient Ae ="]
[null,null,"Coefficient Be ="]
[null,null,"See equation above Se ="]
[null,null," Angle_Ce_in_Degrees ="]
[null,null,"Calculated results are in red type below"]
[null,null,"Angle Ce in radians =",{"$nulls":3},0]
[null,null,"Spreadsheet formula for the above is =RADIANS(Angle_Ce_in_Degrees)"]
[null,null,"Xe =",{"$nulls":3},0]
[null,null,"Spreadsheet formula for above is =((Se-(Ae+Be))/(TAN(Ce)))^(1/(SIN(Ce)+COS(Ce)))"]
[null,null," Calculations are checked here, by substituting the calculated values into "]
[null,null," the Ae+Be+Tan(Ce)*Xe (SIN(Ce)+COS(Ce))  = Se  If the value the user entered "]
[null,null,"for Se is the same as the calculated value for Se, the results are accurate. "]
[null,null,"To prevent rounding errors the following is rounded to",{"$nulls":7},5,"decimal places."]
[null,null,"Calculated value for Se =",{"$nulls":4},0]
[null,null,"Spreadsheet formula for above=ROUND(Ae+Be+TAN(Ce)*Xe^(SIN(Ce)+COS(Ce)), Rr)"]
[null,null,"Value user entered for Se =",{"$nulls":4},0]
[null,null,"Spreadsheet formula for above =ROUND(Se, Rr)"]
[null,null,"No Errors"]
[null,null,"Spreadsheet formula for above =IF(CalcForSe=UserForSe,\"No Errors\",\"Error\" )"]
[]
[]
[null,null,"Trig Calculator 9 Solves the Following Equation for X"]
[null,null,"Af*Bf+ Xf*( Tan(Cf)+Sin(2*Cf) ) = Sf"]
[null,null,"Coefficient: Af="]
[null,null,"Coefficient: Bf  ="]
[null,null,"See equation above Sf  ="]
[null,null,"Angle_Cf_in_Degrees ="]
[null,null,"Calculated results are in red type below"]
[null,null,"Angle Cf  in radians =",{"$nulls":3},0]
[null,null,"Spreadsheet formula for above is =RADIANS(Angle_Cf_in_Degrees)"]
[null,null,"Xf =",{"$nulls":3},{"$error":"#DIV/0!"}]
[null,null,"Spreadsheet formula for above is =(Sf-Af*Bf)/(TAN(Cf)+SIN(2*Cf))"]
[null,null," The Calculator checks results by substituting calculated values into the            \n"]
[null,null,"  equation: Af*Bf+ Xf*(Tan(Cf)+Sin(2*Cf)) = Sf  If the value the user entered"]
[null,null," for Sf is the same as the calculated value for Sf, the results are accurate.  "]
[null,null,"To prevent rounding errors the following is rounded to",{"$nulls":7},5,"decimal places."]
[null,null,"Calculated value for Sf=",{"$nulls":4},{"$error":"#DIV/0!"}]
[null,null,"Spreadsheet formula for above =ROUND(Af*Bf+ Xf*(TAN(Cf)+SIN(2*Cf)),Rr)"]
[null,null,"Sf =",{"$nulls":4},0]
[null,null,"Spreadsheet formula for above is =ROUND(Sf, Rr)"]
[null,null,{"$error":"#DIV/0!"}]
[null,null,"Spreadsheet formula for =IF(CalcForSf=UserForSf,\"No Errors\",\"Error\")"]
[]
[]
[null,null,"Trig Calculator 10 Solves the Following Equation for Xh"]
[null,null,"XhSin(Ch)  = Sh"]
[null,null,"See equation above: Sh ="]
[null,null," Angle Ch in Degrees  = "]
[null,null,"Calculated results are in red type below"]
[null,null,"Angle Ch in radians =",{"$nulls":4},0]
[null,null,"Spreadsheet formula for above is =RADIANS(Angle_Ch_in_Degrees)"]
[null,null," Sin(Ch)  =",{"$nulls":3},0]
[null,null,"Spreadsheet formula for above is =SIN(Ch)"]
[null,null,"*Note: SIN(Ch) cannot be greater than 1.  This can be used"]
[null,null," to limit the magnitude of exponents, when devising formulas. "]
[null,null,"Xh =",{"$nulls":3},{"$error":"#DIV/0!"}]
[null,null,"Spreadsheet formula for above is =Sh^(1/SIN(Ch))"]
[null,null,"The Calculator checks results by substituting the calculated values"]
[null,null,"into the equation:  XhSin(Ch) = Sh   If the value the user entered for Sh  "]
[null,null,"is the same, as the calculated value for Sh, the results are accurate. "]
[null,null,"To prevent rounding errors the following is rounded to",{"$nulls":7},5,"decimal places."]
[null,null,"The calculated value for Sh =",{"$nulls":4},{"$error":"#DIV/0!"}]
[null,null,"Spreadsheet formula for the above =ROUND(Xh^SIN(Ch), Rr ) "]
[null,null,"Sh=",{"$nulls":4},0]
[null,null,"Spreadsheet formula for the above =ROUND(Sh, Rr) "]
[null,null,{"$error":"#DIV/0!"}]
[null,null,"Spreadsheet formula for above =IF(CalcForSh=UserForSh,\"No Errors\",\"Error\")"]
[]
[null,null,"Ten Algebraic-Trig-Calculators\nCreated By David@TechForText.com, ©2010\nTo contact the author use the above email address,"]