Q9 of 31 Page 316

Let us prove that cot 12°cot38° cot ° cot52° cot 78° cot 60° =

Given, cot12° cot38° cot52° cot78° cot60°


we know that cot60 =


cot12° cot38° cot52° cot78° ()


= cot(90 - 78)cot(90 - 52)cot52° cot78° ()


= tan78° tan52° cot52° cot78° ()


= tan78° tan52° ()


= ()


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