CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2001

  • question_answer
    If \[\cos \theta =-1/2\]and \[{{0}^{o}}<\theta <{{360}^{o}},\] then the value of \[\theta \] are:

    A) \[~{{120}^{o}}\] and \[{{300}^{o}}\]       

    B) \[~{{60}^{o}}\] and \[{{120}^{o}}\]

    C)  \[{{120}^{o}}\]and \[{{240}^{o}}\]          

    D) \[~{{60}^{o}}\] and\[~{{240}^{o}}\]

    Correct Answer: C

    Solution :

    \[\cos \theta =-1/2,\]\[\cos 60=1/2,\,\cos \theta \]is negative in II and III quadrant, then \[\cos (180-60)=-\cos 60=-1/2\] \[\Rightarrow \]\[\theta =120,\cos (180+60)\] \[=-\cos 60=-1/2\Rightarrow \theta =240.\]


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