anonymous
  • anonymous
what is the maximum value of sinx+cosx where x is any real number??
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
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.
divanshu
  • divanshu
wrong answer
anonymous
  • anonymous
true they do not equal 1 at the same value

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divanshu
  • divanshu
good ebbflo
divanshu
  • divanshu
so answer is 1/sqrt2
anonymous
  • anonymous
ok. can you explain the process please??
anonymous
  • anonymous
the max value is \[\sqrt{2}\]
anonymous
  • anonymous
that's right, they don't equal the same thing at the same values,
anonymous
  • anonymous
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.
anonymous
  • anonymous
Is this for calculus?
anonymous
  • anonymous
Let \[f(x)=\sin x+\cos x\]
anonymous
  • anonymous
no this is for trig
anonymous
  • anonymous
Then \[f^\prime(x)=\cos x-\sin x\]
anonymous
  • anonymous
okay ,sorry
anonymous
  • anonymous
okay then you reason that \[x=\frac{\pi}{4}\] is the value when cosine and sine functions are equal and positive
anonymous
  • anonymous
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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