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SSC Sample Paper Mock Test-15 SSC CGL Tear-II Paper-1

  • question_answer
    \[\tan 75{}^\circ -\tan 30{}^\circ -\tan 75{}^\circ \tan 30{}^\circ \]is equal to

    A)  \[-\,\,1\]

    B)  1

    C)  0

    D)  2

    Correct Answer: B

    Solution :

    \[\tan 75{}^\circ =\tan \,\,(45{}^\circ +30{}^\circ )\]as above \[\tan 75{}^\circ -\tan 45{}^\circ -\tan 30{}^\circ =\tan 75{}^\circ \tan 45{}^\circ \tan 30{}^\circ \]\[\tan 75{}^\circ -\tan 30{}^\circ -\tan 75{}^\circ \tan 30{}^\circ =\tan 45{}^\circ =1\]


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