Without using a calculator, rank the following five numbers in descending order and justify each comparison:
tan32∘,cot58∘,tan58∘,cot32∘,1.
(i) Establish the complementary relationships, if any, among the given ratios.
(ii) Use the behaviour of tanθ in (0∘,90∘) to compare each pair that you find necessary.
(iii) Write the final descending order of all five numbers, providing clear reasoning for every step in your comparison.