Multiple Choice Questions on If sec theta tan theta radic 3 then the positive value of sin theta is ........ for Mathematics - All Exams Preparation

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Multiple Choice Questions

If sec theta tan theta radic 3 then the positive value of sin theta is ........

Quantitative Aptitude ( CCS) Trignometry
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    If sec θ + tan θ = √3, then the positive value of sin θ is

    0

    Incorrect Answer

    1/2

    Correct Answer

    √3/2

    Incorrect Answer

    1

    Incorrect Answer
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    Explanation:

    sec θ + tan θ = √3
    ....(i)
    ⇒ secθ – tan θ = 1/√3
    {? sec2 θ = tan2 θ = 1}
    ....(i)
    By adding (i) and (ii), we get

    ⇒ θ = 30°
    ∴ sin θ = sin 30° = 1/2

    By: Amit Kumar
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