In right-angled triangle ABC, ∠C = 90° and ∠A = 30°. The length of side AC is 6√3 cm.
a. (i) Find the length of the hypotenuse AB.
b. (ii) Using the values of the sides, verify that sin A = cos B.
c. (iii) Determine the length of side BC and hence show that tan A × tan B = 1.