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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

demoivre(e^x);

Calculate

demoivre

z1: 2+3*%i;

z2 : -1 -5*%i;

demoivre(z1 / z2);

Calculate

demoivre-true

demoivre:true;

%e^(%i*w);

Calculate

demoivre-matrix-true

aa : matrix([a,b],[c,...

demoivre: true;

matrixexp(aa);

Calculate

demoivre

demoivre(e^(%i*x));

Calculate

demoivre

demoivre(e^(7*x));

Calculate

demoivre-exp

z :5*exp(%i * 6 *%pi ...

demoivre(z);

Calculate

demoivre-exp-exponentialize-radcan

f:demoivre(exp(%i*t));

f:exponentialize(f);

f:radcan(f);

Calculate

demoivre-exp

z :5*exp(%i * 30 *%pi...

demoivre(z);

Calculate