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

  • question_answer
    Find the value of \[\cos \,\,(29\pi /3)?\]

    A)  \[1\]

    B)  \[0\]

    C)  \[\frac{\sqrt{3}}{2}\]                

    D)  \[1/2\]

    Correct Answer: D

    Solution :

    \[\cos \left( 29\frac{\pi }{3} \right)=\cos \left( \frac{(27+2)\pi }{3} \right)\] \[=\cos \left( 9\pi +\frac{2\pi }{3} \right)\] \[=-\cos \frac{2\pi }{3}=-\cos \left( \frac{\pi }{2}+\frac{\pi }{6} \right)=\sin \frac{\pi }{6}=\frac{1}{2}\]


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