RAJASTHAN ­ PET Rajasthan PET Solved Paper-2004

  • question_answer
    The maximum value of\[sin\text{ }x+cos\text{ }x\]is

    A)  \[2\]

    B)  \[\sqrt{2}\]

    C)  \[\frac{1}{\sqrt{2}}\]

    D)  1

    Correct Answer: B

    Solution :

     We know that, maximum value of \[a\text{ }sin\text{ }x+b\text{ }cos\text{ }x=\sqrt{{{a}^{2}}+{{b}^{2}}}\] \[\therefore \]Maximum value of \[\sin x+\cos x=\sqrt{1+1}=\sqrt{2}\]


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