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anonymous

  • 5 years ago

what is the maximum value of sinx+cosx where x is any real number??

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  1. anonymous
    • 5 years ago
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    it has to be 2, the max val for sin and the max val for cos are both 1. The sum of those is 2. Neitehr function will get any bigger than 1 going to infinity.

  2. divanshu
    • 5 years ago
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    wrong answer

  3. anonymous
    • 5 years ago
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    true they do not equal 1 at the same value

  4. divanshu
    • 5 years ago
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    good ebbflo

  5. divanshu
    • 5 years ago
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    so answer is 1/sqrt2

  6. anonymous
    • 5 years ago
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    ok. can you explain the process please??

  7. anonymous
    • 5 years ago
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    the max value is \[\sqrt{2}\]

  8. anonymous
    • 5 years ago
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    that's right, they don't equal the same thing at the same values,

  9. anonymous
    • 5 years ago
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    the pi over 4 values are the only ones that will give you teh max sum, because they are the same for sin and cos.My mistake.

  10. anonymous
    • 5 years ago
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    Is this for calculus?

  11. anonymous
    • 5 years ago
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    Let \[f(x)=\sin x+\cos x\]

  12. anonymous
    • 5 years ago
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    no this is for trig

  13. anonymous
    • 5 years ago
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    Then \[f^\prime(x)=\cos x-\sin x\]

  14. anonymous
    • 5 years ago
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    okay ,sorry

  15. anonymous
    • 5 years ago
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    okay then you reason that \[x=\frac{\pi}{4}\] is the value when cosine and sine functions are equal and positive

  16. anonymous
    • 5 years ago
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    okay then you reason that \[x=\frac{\pi}{4}\] is the value when cosine and sine functions are equal and positive

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