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SSC Quantitative Aptitude Trigonometry Question Bank Trigonometry (I)

  • question_answer
    Number of integral values of x for which \[\sin \theta =\frac{4x-3}{9},\] where \[0{}^\circ <9<90{}^\circ ,\]is

    A) 5

    B) 4

    C) 3

    D) 2

    Correct Answer: C

    Solution :

    [c] Given, \[\sin \theta =\frac{4x-3}{9}\] Taking \[\theta =90{}^\circ ,\]\[1=\frac{4x-3}{9}\] \[\Rightarrow \]   \[4x-3=9\] \[\Rightarrow \]   \[4x=12\] \[\therefore \]      \[x=3\]


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