What is the value of cot 35° cot 40° cot 45° cot 50° cot 55°?

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Answer:

Given:

cot 35° cot 40° cot 45° cot 50° cot 55°

Concept used:

cot 45^° = 1

tan θ × cot θ = 1

tan A = cot B, if A + B = 90^°

Calculation:

cot 35° cot 40° cot 45° cot 50° cot 55°

⇒ cot 35^° cot 40^° cot 45^°tan 40^°tan 35^°

⇒ cot 35^°tan 35^°cot 40^°tan 40^°cot 45^°

⇒ cot 45^°= 1

∴ The correct answer is 1.

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