reduce-historical/r36/XMPL/TRIGSIMP.TST

% test file for trigsimp package
%
%---------------------trigsimp---------------------------
trigsimp(tan(x+y),keepalltrig);
trigsimp(ws,keepalltrig,combine);
trigsimp(sin(5x-9y));
trigsimp(ws,combine);
trigsimp(cos(10x),cos);
trigsimp(cos(10x),sin);
trigsimp((sin(x-a)+sin(x+a))/(cos(x-a) + cos(x+a)));
trigsimp(cos(6x+4y),sin);
trigsimp(ws,expon);
trigsimp(ws,hyp);
trigsimp(ws,combine);
trigsimp(ws,trig,combine);
trigsimp(sqrt(1-cos(2x)));
trigsimp(sin(x)**20*cos(x)**20,sin);
trigsimp(sin(x)**20*cos(x)**20,cos);
trigsimp(sin(x)**20*cos(x)**20,compact);
trigsimp(sin(x)**10,combine);
trigsimp(ws,hyp);
trigsimp(ws,expon);
trigsimp(ws,trig);
int(sin(x+y)*cos(x-y)*tan(x),x);
int(trigsimp(sin(x+y)*cos(x-y)*tan(x)),x);
% int(sin(x+y)*cos(x-y)/tan(x),x) hangs
int(trigsimp(sin(x+y)*cos(x-y)/tan(x)),x);
trigsimp(2*tan(x)*(sec(x)**2 - tan(x)**2 - 1));
df(sqrt(1+cos(x)),x,4);
trigsimp(ws);
df(2cos((x+y)/2)*cos((x-y)/2),x);
trigsimp(ws,combine);
df(int(1/cos(x),x),x);
trigsimp(ws,combine);
trigsimp(cos(100x));
trigsimp(ws,combine);
trigsimp(sinh(3a+4b-5c)*cosh(3a-5b-6c));
trigsimp(ws,combine);
trigsimp(sec(20x-y),keepalltrig);
trigsimp(csc(10a-9b),keepalltrig);
trigsimp(ws,combine);
trigsimp(cosh(50*acosh(x))-cos(50*acos(x)));
trigsimp(cos(n*acos(x))-cosh(n*acosh(x)),trig);
trigsimp((2*tan(log(x))*(sec(log(x))**2 - tan(log(x))**2 - 1))/x);
trigsimp(sech(10x),keepalltrig);
trigsimp(ws,combine);
trigsimp(csch(3x-5y),keepalltrig);
trigsimp(ws,combine);
off precise;
trigsimp((sinh(x)+cosh(x))**n+(cosh(x)-sinh(x))**n,expon);
on precise;
trigsimp(ws,hyp);
load taylor;
taylor(sin(x+a)*cos(x+b),x,0,4);
trigsimp(ws,combine);
%----------------------trigfactorize------------------------
trigfactorize(sin(x)**2,x);
trigfactorize(1+cos(x),x);
trigfactorize(1+cos(x),x/2);
trigfactorize(1+cos(x),x/6);
trigfactorize(sin(x)*(1-cos(x)),x);
trigfactorize(sin(x)*(1-cos(x)),x/2);
trigfactorize(tan(x),x);
trigfactorize(sin(x*3),x);
trigfactorize(sin(4x)-1,x);
trigfactorize(sin(x)**4-1,x);
trigfactorize(cos(x)**4-1,x);
trigfactorize(sin(x)**10-cos(x)**6,x);
trigfactorize(sin(x)*cos(y),x);
trigfactorize(sin(2x)*cos(y)**2,y/2);
trigfactorize(sin(y)**4-x**2,y);
trigfactorize(sin(x),x+1);
trigfactorize(sin(x),2x);
trigfactorize(sin(x)*cosh(x),x/2);
trigfactorize(1+cos(2x)+2cos(x)*cosh(x),x/2);
%------------------------gcd---------------------------------
triggcd(sin(x),cos(x),x);
triggcd(1-cos(x)**2,sin(x)**2,x);
triggcd(sin(x)**4-1,cos(x)**2,x);
triggcd(sin(5x+1),cos(x),x);
triggcd(1-cos(2x),sin(2x),x);
triggcd(-5+cos(2x)-6sin(x),-7+cos(2x)-8sin(x),x/2);
triggcd(1-2cosh(x)+cosh(2x),1+2cosh(x)+cosh(2x),x/2);
triggcd(1+cos(2x)+2cos(x)*cosh(x),1+2cos(x)*cosh(x)+cosh(2x),x/2);
triggcd(-1+2*a*b+cos(2x)-2*a*sin(x)+2*b*sin(x),-1-2*a*b+cos(2x)-2*a*sin(x)
-2*b*sin(x),x/2);
triggcd(sin(x)**10-1,cos(x),x);
triggcd(sin(5*x) + sin(3*x),cos(x),x);
triggcd(sin(3x)+sin(5x),sin(5x)+sin(7x),x);

end;