
Ten AlgebraicTrigCalculators Created By
David@TechForText.com, ©2010 To contact the author use the above email
address, 


This page has ten individual calculation
devices that solve a number of algebraic equations that involve
trigonometry 



Instructions




The following is equivalent to a 10 page
document. To see all of the Calculators you must scroll all the way down.



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.



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. 


All the calculations for the errorchecking 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 ErrorChecking
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
=(SfAf*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 





Xh^{Sin(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: Xh^{Sin(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") 



