demo/trgsmp.dem

   1 (1-sin(x)^2)*cos(x)/cos(x)^2+tan(x)*sec(x)^2;
   2 trigsimp(%);
   3
   4 tan(x)^2+sec(x)^2/(1-tan(x)*sec(x));
   5 trigsimp(%);
   6
   7
   8 (sin(x)^4-6*cos(x)^2*sin(x)^2+4*(cos(x)^2-sin(x)^2)+8*sin(x)+cos(x)^4+3)/(8*cos(x)^3);
   9
  10 trigsimp(%);
  11
  12
  13 sech(x)^2*sinh(x)*tanh(x)/coth(x)^2+cosh(x)^2*sech(x)^2*tanh(x)/coth(x)^2+sech(x)^2*tanh(x)/coth(x)^2;
  14
  15 trigsimp(%);
  16
  17
  18 -sech(x)^5*(sinh(x)^5+2*(sinh(x)^4+6*cosh(x)^2*sinh(x)^2+cosh(x)^4)-13*(sinh(x)^3+3*cosh(x)^2*sinh(x))+10*cosh(x)^2*sinh(x)^3-8*(sinh(x)^2+cosh(x)^2)+5*cosh(x)^4*sinh(x)+34*sinh(x)+6)/16;
  19
  20 trigsimp(%);
  21
  22 cos(x)*(sec(x)^2*tan(x)+1)-sec(x)^2*sin(x)-cos(x);
  23 trigsimp(%);
  24
  25 v*cos(x)*sec(x)^2*tan(x)+(-v*sec(x)^2-2*'diff(v,x))*sin(x)+'diff(v,x)*cos(x)*sec(x)+'diff(v,x,2)*cos(x);
  26
  27 trigsimp(%);