Question #58cde

1 Answer
Nov 29, 2017

Not a solution.

Explanation:

#f(x) = 4sin^2 (x/2 + pi/3) - 3#
Replace x by #pi/3# into the expression.
#sin (x/2 + pi/3) = sin (pi/6 + pi/3) = sin ((3pi)/6) = sin pi/2 = 1#
#4sin^2 (x/2 + pi/3) = 4(1) = 4#
#f(x) = 4 - 3 = 1#
Since #f(x) != 0#, therefor, #pi/3# isn't a solution of f(x)