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# Try to solve this system of equations

Posted 10 years ago
 Hello everyone I try to solve this system shown below. Solve[r2 == r1 Cos[\[Theta]\[Alpha]1 + \[CapitalDelta]\[Theta] - \[Theta]\ \[Alpha]2] + (h + vh \[Tau]1) Cos[\[Theta]\[Alpha]2] + (k + vk \[Tau]1) Sin[\[Theta]\[Alpha]2] && spo2 == -spo1 Cos[\[Theta]\[Alpha]1 + \[CapitalDelta]\[Theta] - \ \[Theta]\[Alpha]2] + vh Sin[\[Theta]\[Alpha]2] - vk Cos[\[Theta]\[Alpha]2] && \[Tau]1 spo1 == \[CapitalDelta]\[Theta] r1 + l && \[CapitalDelta]\[Theta] == \[Beta] - \[Psi] - Pi/2 && \[Psi] == ArcCos[(spo2^2 - so1o2^2 - spo1 ^2)/(2 spo1 so1o2)], {\[CapitalDelta]\[Theta], \[Theta]\[Alpha]2, \[Tau]1, spo1, \[Psi]}]  There are 5 unknown variables and 5 equations. This system is quite complex because of trigonometric functions. I do not know how to solve them. It took a long time and I haven't got the answer yet. It's still running. Anyone can help me? Thank you very very very much in advance.