Complex Equation Solver

[mtrawls]

Originally Posted by Dejhan_Tulip

Thanks a lot for your reply !!

However, that is exactly what I did and the equation didn't get any simpler

If you do that and solve for X you have still cosines and sines involved and while it seems to get a little simpler it doesn't

Given the system of equations:

(1) 0.4N - 75cos(itan(12/x)) = 0
(2) N - 180 + 75sin(itan(12/x)) = 0

Then, working on them as described above (e.g., cos(itan(12/x)) = x/sqrt(144+x^2) ...), reduces to:

(1) 0.4N - 75x/sqrt(144+x^2) = 0
(2) N - 180 + 900/sqrt(144+x^2) = 0

Which eliminates the sines/cosines in the equations. Solving for x here shouldn't give you any sines/cosines, but rather a number (provided the system is consistent). Now, that might not be "simple" by some standards ... but it should be solvable -- if not by hand, then more quickly by a calculator/"dumb box." I'd recommend starting by multiplying (2) by -4/10 and adding the two equations together, which would then allow you to solve for x. Then plug this value back into one of the equations and solve for N.