Answer:
Maximum value equals 1/2
Minimum value equals -1/2
Explanation:
The Sin Function when Graphed Shows a Range of [-1 , 1]
apply that on y=1/2 sin2x
y = 1/2 * 1 = 1
y = 1/2 * -1 = -1
so y = 1/2 , -1/2 .
Another Method using 1st derivative
dy/dx = 2 * 1/2 * cos2x
put dy/dx=0
cos2x=0
x= 45, x=135
Apply x values on y=1/2 sin2x
y = 1/2 , -1/2 .
Hope you understand it ^^.