Function: trigexpand (expr)
- Expands trigonometric and hyperbolic functions of sums of angles and of multiple angles occurring in expr.
-
Trigonometric expansion
-
(%i) trigexpand(sin(x+y));
(%o) sin(x)*cos(y)+cos(x)*sin(y)
(%i) trigexpand(cos(x+y));
(%o) cos(x)*cos(y)-sin(x)*sin(y)
(%i) trigexpand(tan(x+y));
(%o) (tan(y)+tan(x))/(1-tan(x)*tan(y))
-
(%i) trigexpand(sin(2*x));
(%o) 2*cos(x)*sin(x)
(%i) trigexpand(cos(2*x));
(%o) cos(x)^2-sin(x)^2
(%i) trigexpand(tan(2*x));
(%o) 2*tan(x)/(1-tan(x)^2)
See Also ...
- MAXIMA :: TRIGREDUCE ... Combines products and powers of trigonometric and hyperbolic
