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SSC Sample Paper Mock Test-9 SSC CGL Tear-II Paper-1

  • question_answer
      If \[\sin 3\theta =\cos \,\,(\theta -2{}^\circ ),\]where 3\[\theta \] and \[(\theta -2{}^\circ )\] are acute angles, what is the value of\[\theta \]?

    A)  \[22{}^\circ \] 

    B)  \[23{}^\circ \]

    C)  \[24{}^\circ \] 

    D)  \[25{}^\circ \]

    Correct Answer: B

    Solution :

    \[\begin{align}   & Given,\sin 3\theta =\cos (\theta -2{}^\circ ) \\  & sin3\theta =\sin [90{}^\circ -(\theta -2{}^\circ )] \\  & 3\theta =90{}^\circ -\theta +2{}^\circ  \\  & 4\theta =92{}^\circ \Rightarrow \theta =\frac{92{}^\circ }{4}=23{}^\circ  \\ \end{align}\]


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