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Railways Sample Paper RRBs Assistant Loco Pilot and Technician CBT STAGE-I Sample Paper-24

  • question_answer
    If\[x\tan 45{}^\circ \cos 60{}^\circ =\sin 60{}^\circ \cot 60{}^\circ ,\]then x is equal to

    A)  \[\frac{1}{\sqrt{2}}\]                

    B) \[\sqrt{3}\]

    C)  \[\frac{1}{2}\] 

    D)  1

    Correct Answer: D

    Solution :

    \[x\tan 45{}^\circ \cos 60\therefore =\sin 60{}^\circ \cot 60{}^\circ \] \[\Rightarrow \]   \[x\times 1\times \frac{1}{2}=\frac{\sqrt{3}}{2}\times \frac{1}{\sqrt{3}}\] \[\Rightarrow \]   \[x=1\]


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