The value of (2tan 16°)/(cot 74°) + (cot 23°)/(tan 67°) is:

\(\frac{2 tan 16°}{cot 74°}\) + \(\frac{cot 23°}{tan 67°}\)

= 2 + 1 = 3

(because if A + B = 90°, then \(\frac{tan A}{tan B}\) = 1)