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The Maxima on-line user's manual

Algebra Calculator

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Demoivre

Function: demoivre (<expr>) -- Option variable: demoivre The function demoivre (expr) converts one expression without setting the global variable demoivre.

z:5*exp(%i * 35 *%pi/180);
rectform(z);
demoivre(z)

When the variable demoivre is true, complex exponentials are converted into equivalent expressions in terms of circular functions: exp (a + b*%i) simplifies to %e^a * (cos(b) + %i*sin(b)) if b is free of %i. a and b are not expanded.

The default value of demoivre is false.

exponentialize converts circular and hyperbolic functions to exponential form. demoivre and exponentialize cannot both be true at the same time.

(%o1)                                true
(%i2) 

Related Examples

demoivre-diff-exp-linsolve-ode2-sin

ode2('diff(y,t,2)+2*'...

linsolve([21*b+a=0,b-...

demoivre(%i*exp(-%i*x));

Calculate

demoivre-true

/* check the value of...

%e^(%i*w);

expr:%e^(%i*w);

Calculate

demoivre-ev-true

demoivre;

%e^(%i*w);

expr:%e^(%i*w);

Calculate

demoivre

demoivre (((a^2)*(b^2...

Calculate

demoivre-solve

a:x^2+omega^2=0;

solve(a,x);

x1:C1*%e^(%i*omega*t);

Calculate

demoivre-expand-solve

a:x^2+omega^2=0;

solve(a,x);

x1:C1*%e^(%i*omega*t);

Calculate

demoivre

demoivre(cos7x);

Calculate

demoivre-true

/* check the value of...

%e^(%i*w);

expr:%e^(%i*w);

Calculate

demoivre-depends-diff-nouns-ode2-solve

depends(y,x);

z:diff(y,x)=(y/x)^2-2;

depends(u,x);

Calculate