Multiple Choice Questions on If sin 3A cos A ndash 26 deg where 3A is an acute angle then the value of A is ........ for Mathematics - All Exams Preparation

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Multiple Choice Questions

If sin 3A cos A ndash 26 deg where 3A is an acute angle then the value of A is ........

Quantitative Aptitude ( CCS) Trignometry
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    If sin 3A = cos (A – 26°), where 3A is an acute angle then the value of A is

    29o

    Correct Answer

    26o

    Incorrect Answer

    23o

    Incorrect Answer

    28o

    Incorrect Answer
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    Explanation:

    sin 3A = cos (A – 26°)
    ⇒  cos (90° – 3A) = cos (A – 26°)
    [? cos (90° – Θ) = sin Θ]
    ⇒  90° – 3A = A – 26°
    ⇒  4A = 116°
    ⇒  A = 29°

    By: Amit Kumar
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