Multiple Choice Questions on If tan Theta ndash cot Theta 0 and Theta is a positive acute angle then the value of tan Theta 15 de........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

If tan Theta ndash cot Theta 0 and Theta is a positive acute angle then the value of tan Theta 15 de...........

Quantitative Aptitude ( CCS) Trignometry
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    If tanΘ – cotΘ = 0, and Θ is a positive acute angle, then the value of

    tan (Θ + 15°) /tan (Θ – 15°)

    1/√3

    Incorrect Answer

    √3

    Incorrect Answer

    3

    Correct Answer

    1/3

    Incorrect Answer
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    Explanation:

    tanΘ – cotΘ = 0
    Therefore, tanΘ = cotΘ 
    We know that the value of tanΘ and cotΘ is equal for Θ to be equal to 45°.
    Clearly, the given expression will become like:
    tan 60° /tan 30° = √3 /1√3
    = √3/1 x √3/1 = 3

    By: Amit Kumar
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