Let \(f(x) = \sec x + \csc x\). Compute \(f\left(\frac{5\pi}{6}\right) + f\left(\frac{5\pi}{4}\right) + f\left(\frac{11\pi}{6}\right)\).
f(5*pi/6) + f(5*pi/4) + f(11*pi/6) = 2 - sqrt(3).