1.

Without using trigonometric tables, prove that: (i)tan 48∘ tan 23∘ tan 42∘ tan 67∘=1 (ii)tan 7∘ tan 23∘ tan 60∘ tan 67∘ tan 83∘=√3 (iii)cot 12∘ cot 38∘ cot 52∘ cot 60∘ cot 78∘=1√3 [3 MARKS]

Answer»

Without using trigonometric tables, prove that:

(i)tan 48∘ tan 23∘ tan 42∘ tan 67∘=1

(ii)tan 7∘ tan 23∘ tan 60∘ tan 67∘ tan 83∘=√3

(iii)cot 12∘ cot 38∘ cot 52∘ cot 60∘ cot 78∘=1√3 [3 MARKS]


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