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Text File  |  2003-02-09  |  721 b   |  28 lines
  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(%);
  28.