# 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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