Sponsored links: Algebra eBooks
 

Related

trigexpand

trigexpand(sin2*x);

Calculate

trigexpand

%e^(%i*w);

trigexpand;

Calculate

trigexpand-trigsimp

sin2x=trigexpand(sin(...

sin3x=trigexpand(sin(...

cos3x=trigexpand(cos(...

Calculate

trigexpand

trigexpand(sin3x);

Calculate

trigexpand

f : ((x+3)*(x-3)-((x+...

trigexpand(f);

Calculate

trigexpand

trigexpand (2*(sin*x)...

Calculate

trigexpand

trigexpand(expand((x^...

Calculate

trigexpand

trigexpand(x+3)*(x-3)...

Calculate

trigexpand

trigexpand(sin2*x);

Calculate

trigexpand

trigexpand(x^4 + 4*x^...

Calculate

trigexpand

Run Example
(%i1)eq: ratsubst(sin(a)^2,1-cos(a)^2,trigexpand(cos(9*a)));
                    8                    6                    4
(%o1) 256 cos(a) sin (a) - 448 cos(a) sin (a) + 240 cos(a) sin (a)
                                                                  2
                                                   - 40 cos(a) sin (a) + cos(a)
(%i2) 
Run Example
trigexpand(sin(x)/(cos(x)*tan(x)));
                                    sin(x)
(%o1)                            -------------
                                 cos(x) tan(x)
(%i2) 
Run Example
declare(z, [scalar, real]);
(%o1)                                done
(%i2) declare(q, [scalar, real]);
(%o2)                                done
(%i3) declare(a, [scalar, real]);
(%o3)                                done
(%i4) declare(b, [scalar, real]);
(%o4)                                done
(%i5) declare(c, [scalar, real]);
(%o5)                                done
(%i6) declare(d, [scalar, real]);
(%o6)                                done
(%i7) halfangles:true;
(%o7)                                true
(%i8) trigexpand:true;
(%o8)                                true
(%i9) z : 0.5 * q * %pi;
(%o9)                              0.5 %pi q
(%i10) basesin(q) := sin(''z);
(%o10)                   basesin(q) := sin(0.5 %pi q)
(%i11) deltasin(q) := 0.5 * %pi * cos(''z);
(%o11)               deltasin(q) := 0.5 %pi cos(0.5 %pi q)
(%i12) S7(q) := a*q + b*q^3 + c*q^5 + d*q^7;
                                         3      5      7
(%o12)                 S7(q) := a q + b q  + c q  + d q
(%i13) s7diff: derivative(S7(q),q);
                              6        4        2
(%o13)                   7 d q  + 5 c q  + 3 b q  + a
(%i14) S7p(q) := ''s7diff;
                                   6        4        2
(%o14)              S7p(q) := 7 d q  + 5 c q  + 3 b q  + a
(%i15) trigsimp(trigrat(solve([S7(1)=basesin(1), S7p(0)=deltasin(0), S7p(1)=deltasin(1), S7p(.5)=deltasin(0.5)], [a,b,c,d])));

rat: replaced -0.5 by -1/2 = -0.5

rat: replaced -0.5 by -1/2 = -0.5

rat: replaced -0.5 by -1/2 = -0.5

rat: replaced 0.75 by 3/4 = 0.75

rat: replaced 0.3125 by 5/16 = 0.3125

rat: replaced 0.109375 by 7/64 = 0.109375

rat: replaced 0.25 by 1/4 = 0.25

rat: replaced -0.25 by -1/4 = -0.25

rat: replaced 210.0 by 210/1 = 210.0

rat: replaced 36.0 by 36/1 = 36.0

rat: replaced 0.25 by 1/4 = 0.25

rat: replaced -0.25 by -1/4 = -0.25

rat: replaced 630.0 by 630/1 = 630.0

rat: replaced -18.0 by -18/1 = -18.0

rat: replaced 0.25 by 1/4 = 0.25

rat: replaced -0.25 by -1/4 = -0.25

rat: replaced 90.0 by 90/1 = 90.0

rat: replaced -6.0 by -6/1 = -6.0
                        11/2                          13/2
             %pi      (2     - 18) %pi - 105        (2     + 9) %pi - 315
(%o15) [[a = ---, b = ----------------------, c = - ---------------------, 
              2                 30                           30
                                                            9/2
                                                          (2    + 6) %pi - 90
                                                      d = -------------------]]
                                                                  15
(%i16) 
[acos,atan,sin,sqrt,trigexpand] [atan,subst,tan,trigexpand] [atan,tan,trigexpand] [atan2,collectterms,cos,expand,factor,float,log,plot2d,ratsimp,sin,solve,tan,trigexpand] [block,denom,equal,ev,fullratsimp,lhs,maplist,return,rhs,trigexpand] [coeff,cos,display2d,do,false,makelist,print,ratsubst,sin,sqrt,sum,trigexpand] [coeff,cos,display2d,false,makelist,ratsubst,sin,solve,sqrt,sum,trigexpand] [coeff,cos,eliminate,makelist,rat,ratexpand,ratsubst,sin,trigexpand] [cos,cot,csc,diff,false,matrix,powerdisp,sec,sin,tan,transpose,trigexpand,true] [cos,cot,declare,defrule,evfun,false,let,letsimp,matchdeclare,sin,tan,tellsimp,trigexpand,trigsimp,true] [cos,cot,declare,evfun,false,let,letsimp,matchdeclare,sin,tan,tellsimp,trigexpand,trigsimp,true] [cos,cot,declare,evfun,let,letsimp,matchdeclare,sin,tan,tellsimp,trigexpand,trigsimp,true] [cos,cot,diff,expand,ratsimp,sin,sqrt,subst,trigexpand,trigreduce] [cos,declare,diff,halfangles,pi,radcan,solve,trigexpand,trigrat,trigsimp,true] [cos,diff,integrate,plot2d,trigexpand,trigrat,trigsimp] [cos,diff,rhs,sin,solve,sqrt,subst,trigexpand,trigsimp] [cos,diff,sin,trigexpand] [cos,display2d,false,ratsubst,sin,sqrt,sum,trigexpand] [cos,display2d,false,sin,trigexpand,trigreduce,trigsimp] [cos,expand,factor,halfangles,integrate,sin,trigexpand,true] [cos,expand,factor,ratsubst,sin,sqrt,trigexpand] [cos,factor,rat,ratsubst,sin,trigexpand] [cos,factor,sin,trigexpand] [cos,integrate,load,sin,trigexpand] [cos,phi,sum,trigexpand] [cos,pi,sin,trigexpand] [cos,plot2d,rat,ratsubst,sin,trigexpand] [cos,rat,ratsubst,sin,trigexpand] [cos,ratsubst,sin,trigexpand] [cos,sin,subst,trigexpand] [cos,sin,sum,trigexpand] [cos,sin,trigexpand,trigreduce] [cos,sin,trigexpand,trigsimp] [cos,sin,trigexpand,true] [cos,sin,trigexpand] [cos,sqrt,trigexpand,trigsimp] [cos,trigexpand] [expand,trigexpand] [fullratsimp,load,matrix,radcan,trigexpand,trigsimp] [linsolve,sin,trigexpand] [ratsimp,sin,subst,trigexpand] [sin,sqrt,trigexpand] [sin,subst,trigexpand] [sin,trigexpand,trigreduce,trigsimp] [sin,trigexpand,trigreduce] [sin,trigexpand,trigsimp] [sin,trigexpand] [subst,tan,trigexpand] [tan,trigexpand] [trigexpand]

Related Help

Help for Trigexpand