1.

Which of the following is equal to cot 80° × cot 70° × cot 60° × ....× cot10° ? (A) 0 (B) 1 (C) 2 (D) 3

Answer»

The correct option is (B) 1

Explanation:

cot80° × cot70° × cot60° ...× cot10° 

cot80° × cot(90 – 80) × cot(70) cot (90 – 70) 

cot80° × tan80° × cot70°tan70° × cot60°tan60° × cot50° × tan50° 

∵ cotθ × tanθ = 1

= 1



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