If $A + B = \frac{\pi}{3} (A,B>0),$ Then the minimum value of sec A + sec B is?

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If $A + B = \frac{\pi}{3} (A,B>0),$ Then the minimum value of sec A + sec B is?

I know the condition for minima but here there are two simultaneous variables , how and with respect to what do I differentiate?

Any help is wecolme.

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Hint: Minimize the function

$$f(x) = \sec x + \sec\Big(\frac{\pi}{3} - x\Big)$$

on an appropriate interval for $x$.