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JEE Main & Advanced Mathematics Trigonometric Equations Question Bank Solution of trigonometrical equations

  • question_answer
    The equation \[\sin x+\sin y+\sin z=-3\] for \[0\le x\le 2\pi ,\] \[0\le y\le 2\pi ,\] \[0\le z\le 2\pi \], has [Orissa JEE 2003]

    A) One solution

    B) Two sets of solutions

    C) Four sets of solutions

    D) No solution

    Correct Answer: A

    Solution :

    Given \[\sin x+\sin y+\sin z=-3\] is satisfied only when \[x=y=z=\frac{3\pi }{2},\] for \[x,\,y,\,z\in [0,\,\,2\pi ].\]


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