The expression is :$$\left|\sin2x\right|+\left|\cos2x\right|$$
For the maximum value I can ignore the absolute value and can get $$\sqrt2$$
But finding the minimum is what stumps me
I can understand it is $1$ by guessing but is there a rigorous approach ?
I didn't try differentiation because it can not be used on absolute value function .
Thank you in advance .