On 5/1/2013 11:16 AM, Jung wrote: > Hello, > > I am trying to solve for: > y > r > p > > in the following equations where I, J, K are known. > > I = siny * sinr + cosy * sinp * cosr > J = -siny * cosr + cosy * sinp * sinr > K = cosy * cosp > > The code I have used is: > > syms r p y i j k > > S = solve(i == sin(y)*sin(r)+cos(y)*sin(p)*cos(r), j == -sin(y)*cos(r)+cos(y)*sin(p)*sin(r), k == cos(y)*cos(p)) > S.r > S.p > S.y > > but I cannot seem to get a result. >
it is normally very hard to obtain analytical solutions for trig equations since these are nonlinear and involves inverse functions with branch cuts as well. So to solve for 'y','p', and 'r' about, you might want to try a numerical approach.