JEE Main & Advanced Mathematics Complex Numbers and Quadratic Equations Question Bank De Moivre's theorem and Roots of unity

  • question_answer
    \[\cos (x+iy)\]is equal to [RPET 2001]

    A) \[\sin \,x\,\,\cosh \,y+i\,\cos \,x\,\,\sinh \,y\]

    B) \[\cos \,x\,\,\cosh \,y+i\,\sin \,x\,\,\sinh \,y\]

    C) \[\cos \,x\,\,\cosh \,y-i\,\sin \,x\,\,\sinh \,y\]

    D) None of these

    Correct Answer: C

    Solution :

    It is obvious.


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