# Find the maximum and minimum values of f(x)= sin(2x) + cos (2x) on the interval [pi/4, pi/2].

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The graph of `f(x)= sin(2x) + cos (2x)` for values of x that lie in `[pi/4, pi/2]` is:

The maximum value is at x = `pi/4` and equal to 1 and the minimum value is at x = `pi/2` and equal to 1.

**The maximum and minimum value of `f(x)= sin(2x) + cos (2x)` for values of x that lie in `[pi/4, pi/2]` is 1 and -1 respectively.**