How do you simplify # [cos(1/2)(phi)] x [cos(1/2)(phi)]#?

1 Answer
Nov 14, 2016

Perhaps
#color(white)("XXX")color(green)(cos(phi))#
(...but note the assumption that I made as to what was intended as the original expression)

Explanation:

If the expression was meant to be:
#color(white)("XXX")[cos^(1/2)(phi)]xx[cos^(1/2)(phi)]#
then since #k^a xx k^b= k^(a+b)#
we get the answer shown above.

...but maybe you meant
#color(white)("XXX")[cos(1/2) xx (phi)] xx [cos(1/2)xx(phi)]#
or something else... (???)