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What is the value of tan1°.tan2°.tan3°.tan4° _______ tan89°?
  • a)
    0
  • b)
    1
  • c)
    2
  • d)
    √3
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
What is the value of tan1°.tan2°.tan3°.tan4° _______ t...
tan1°.tan2°.tan3°.tan4° ______ tan89°
We know that;
tan89° = tan(90 - 1°) = cot1°
tan88° = tan(90 - 2°) = cot2°.
tan46° = tan(90 - 44°) = cot44°
Putting all these values in the expression;
⇒ tan1°.tan2°.tan3°.tan4° _______ tan 44°.tan45°.cot44°.cot43°.cot42°…....cot1°
∵ cotθ = 1/tanθ
⇒ 1 × tan45° × 1
⇒ 1
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What is the value of tan1°.tan2°.tan3°.tan4° _______ tan89°?a)0b)1c)2d)√3Correct answer is option 'B'. Can you explain this answer?
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