Posted by Christina on .
For the function 2sin(x(pi/3)) between x = 0 and x = 2 : (6 marks)
For what value(s) of x does y have its maximum value?
For what value(s) of x does y have its minimum value?
For what value(s) of x does y=1?

trig 
Steve,
you know that sin(x) has maximum value at x = pi/2. So, x  pi/3 = pi/2, or x = 5pi/6. However, that is not in the interval [0,2].
So, try x  pi/3 = 3pi/2. x = 7pi/6.
So, y does not achieve its maximum possible value over x in [0,2]. So, the max achieved in [0,2] occurs when x=2, and y = 2sin(2  pi/3)
Similarly for the others.