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.