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  3. CEE Kerala Engineering

CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2003

  • question_answer
    The number of values of \[\theta \] in the interval\[[-\pi ,\pi ]\]satisfying the equation\[cos\theta +sin2\theta =0\]is:

    A)  1                            

    B)         2

    C)  3                            

    D)         4

    E)  many

    Correct Answer: D

    Solution :

    \[\cos \theta +2\sin \theta \cos \theta =0\] \[\Rightarrow \]               \[\cos \theta (1+2\sin \theta )=00\] \[\Rightarrow \]               \[\cos \theta =0\]or \[\sin \theta =-\frac{1}{2}\] \[\therefore \]The number of values of \[\theta \] in the interval\[[-\pi ,\pi ]\]satisfying the given equation is 4.


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