MaplePrimes - answers and comments on Question, How to convert "exp" expression to "sincos" expression?

just as you'd expect

PatrickT — Sat, 16 Mar 2013 14:00:53 Z

http://www.maplesoft.com/support/help/Maple/view.aspx?path=convert/sincos

convert(tanh(x),sincos);

 sinh(x)
 -------
 cosh(x)

But, for example:


convert(exp(I*x),sin);

sin(x+(1/2)*Pi)+I*sin(x)


convert(exp(I*x),cos);

cos(x)-I*cos(x+(1/2)*Pi)


convert(exp(I*x)+ exp(-I*x) ,sincos);
 
exp(I x)

ecterrab — Tue, 19 Mar 2013 05:11:17 Z

There is also convert/trig

convert(exp(I*x)+ exp(-I*x), trig);
                            2 cos(x)

convert(exp(I*x) - exp(-I*x), trig);
                           2 I sin(x)

convert(exp(I*x), trig);
                       cos(x) + I sin(x)

Edgardo S. Cheb-Terrab
Physics, Maplesoft

Alejandro Jakubi — Tue, 19 Mar 2013 09:08:03 Z

Interestingly, the intuitive calls convert(...,sin) and convert(...,cos) are not documented...E.g. see also here.