Question

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

Answer 1

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.

Answer 2

wrong answer

Answer 3

true they do not equal 1 at the same value

Answer 4

good ebbflo

Answer 5

so answer is 1/sqrt2

Answer 6

ok. can you explain the process please??

Answer 7

the max value is \[\sqrt{2}\]

Answer 8

that's right, they don't equal the same thing at the same values,

Answer 9

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.

Answer 10

Is this for calculus?

Answer 11

Let \[f(x)=\sin x+\cos x\]

Answer 12

no this is for trig

Answer 13

Then \[f^\prime(x)=\cos x-\sin x\]

Answer 14

okay ,sorry

Answer 15

okay then you reason that \[x=\frac{\pi}{4}\] is the value when cosine and sine functions are equal and positive

Answer 16

okay then you reason that \[x=\frac{\pi}{4}\] is the value when cosine and sine functions are equal and positive