/* no rewrite: */ (%i1) trigreduce(1 - tanh(x)^2); (%o1) 1-tanh(x)^2 /* here it does: */ (%i2) trigreduce(y*coth(x)^2 - y); (%o2) csch(x)^2*y (%i3) trigreduce(1/(1+tan(x)^2)); (%o3) 1/sec(x)^2 (%i4) trigreduce(1/sec(x)^2); (%o4) (cos(2*x)+1)/2
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