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SSC Sample Paper SSC CHSL (10+2) Sample Test Paper-14

  • 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 :

     \[\sin \,(3\theta )=\cos \,(\theta -2)\] \[\cos (90-3\theta )=cos(\theta -2)\] \[(\because \,\,\sin \theta =\cos \,(\theta -2)\] \[\therefore \,\,\,\,\,90+2=4\,\,\theta \] \[\Rightarrow \,\,\,\,\theta =\]


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