6.23.24 Simplifying and expressing preferentially with cosines: trigcos
Any trigonometric function can be written in terms of sins and
coss, and with the identity sin(x)2+cos(x)2=1, the even
powers of sin can be turned into powers of cos. The
trigcos command performs these substitutions.
-
trigcos takes one argument:
expr, an expression containing trigonometric functions.
- trigsin(expr) returns expr
with the trigonometric functions rewritten in terms of sin and
cos, with as many sins as possible transformed to coss.
Example.
Input:
trigcos(sin(x)^4+cos(x)^2+1)
Output: