File mttroot/mtt/lib/examples/Mechanical/Mechanical-2D/Pendulum/Pendulum_subs.r artifact 7a6dcb4fcb part of check-in 2764ae05ff

%% Reduce comands to sunstitute in system Pendulum (Pendulum_subs.r)

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        trig1 := {cos(~x)*cos(~y) => (cos(x+y)+cos(x-y))/2,
                  cos(~x)*sin(~y) => (sin(x+y)-sin(x-y))/2,
                  sin(~x)*sin(~y) => (cos(x-y)-cos(x+y))/2,
                  cos(~x)^2       => (1+cos(2*x))/2,
                  sin(~x)^2       => (1-cos(2*x))/2};
       LET trig1;

END;