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J & K CET Engineering J and K - CET Engineering Solved Paper-2014

  • question_answer
    The   value   of \[2{{\cot }^{2}}\,(\pi /6)+\,4\,{{\tan }^{2}}(\pi /6)\]\[-3\,\text{cosec }\pi \text{/6}\] is

    A)  \[2\]                  

    B)  \[4\]

    C)  \[4/3\]                

    D)  \[3/4\]

    Correct Answer: C

    Solution :

    \[2{{\cot }^{2}}\left( \frac{\pi }{6} \right)+4\,{{\tan }^{2}}\left( \frac{\pi }{6} \right)-3\text{cosec}\frac{\pi }{6}\] \[=2{{(\sqrt{3})}^{2}}+4{{\left( \frac{1}{\sqrt{3}} \right)}^{2}}-3(2)=2\times 3+\frac{4}{3}-6=\frac{4}{3}\]


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