Multiple Choice Questions on If sin 5 Theta cos 20 deg 0 deg lt Theta lt 90 deg then the value of Theta is ........ for Mathematics - All Exams Preparation

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Multiple Choice Questions

If sin 5 Theta cos 20 deg 0 deg lt Theta lt 90 deg then the value of Theta is ........

Quantitative Aptitude ( CCS) Trignometry
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    If sin 5Θ = cos 20° (0° < Θ < 90°) then the value of Θ is

    4°

    Incorrect Answer

    22°

    Incorrect Answer

    10°

    Incorrect Answer

    14°

    Correct Answer
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    Explanation:

    sin 5Θ = cos 20°
    ⇒  sin 5Θ = sin (90° – 20°)
    [? sin (90° – Θ) = cos Θ]
    ⇒  sin 5Θ = sin 70°
    ⇒  5Θ = 70°
    ⇒  Θ = 14°

    By: Amit Kumar
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