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  1. The value of tan1°tan2° tan3°....... tan89° is :
    1. 1
    2. 0
    3. √3
    4. 1
      √3
Correct Option: A

tan1°.tan2°.tan3°... tan45°... tan88°tan89°
= (tan1°.tan89°) (tan2°. tan88°) ... tan45°
= (tan1°.cot1°).(tan2°.cot2°) ... tan45° = 1
[∵ tan (90° – θ) = cotθ, tanθ.cotθ = 1]


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