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Railways Sample Paper RRBs Assistant Loco Pilot and Technician CBT STAGE-I Sample Paper-15

  • question_answer
    The value of \[\frac{{{\tan }^{2}}60{}^\circ +4{{\sin }^{2}}45{}^\circ +3{{\sec }^{2}}30{}^\circ +5{{\cos }^{2}}90{}^\circ }{\text{cosec}\,30{}^\circ +\sec 60{}^\circ -{{\cot }^{2}}30{}^\circ }\]

    A)  5                    

    B)  3   

    C)  9                    

    D)  2

    Correct Answer: C

    Solution :

    \[\frac{{{\tan }^{2}}60{}^\circ +4{{\sin }^{2}}45{}^\circ +{{\sec }^{2}}30{}^\circ +5{{\cos }^{2}}90{}^\circ }{\cos ec30{}^\circ +\sec 60{}^\circ -\cot 30{}^\circ }\] \[=\frac{({{\sqrt{3)}}^{2}}+4{{\left( \frac{4}{\sqrt{2}} \right)}^{2}}+3{{\left( \frac{2}{\sqrt{3}} \right)}^{2}}+5(0)}{2+2-{{(\sqrt{3})}^{2}}}\] \[=\frac{3+2+4+0}{1}=9\]


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