A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
what is the maximum value of sinx+cosx where x is any real number??
anonymous
 5 years ago
what is the maximum value of sinx+cosx where x is any real number??

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0it 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.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0true they do not equal 1 at the same value

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok. can you explain the process please??

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the max value is \[\sqrt{2}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0that's right, they don't equal the same thing at the same values,

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the 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
 5 years ago
Best ResponseYou've already chosen the best response.0Is this for calculus?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Let \[f(x)=\sin x+\cos x\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Then \[f^\prime(x)=\cos x\sin x\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0okay then you reason that \[x=\frac{\pi}{4}\] is the value when cosine and sine functions are equal and positive

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0okay then you reason that \[x=\frac{\pi}{4}\] is the value when cosine and sine functions are equal and positive
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.