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

  • question_answer
    The equation \[3\cos x+4\sin x=6\]has [Orissa JEE 2002]

    A) Finite solution

    B) Infinite solution

    C) One solution

    D) No solution

    Correct Answer: D

    Solution :

    \[3\cos x+4\sin x=6\] Þ   \[\frac{3}{5}\cos x+\frac{4}{5}\sin x=\frac{6}{5}\] Þ  \[\cos (x-\theta )=\frac{6}{5}\], \[[\text{where }\theta ={{\cos }^{-1}}(3/5)]\] So, that equation has no solution.


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