Quantcast

A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

math>philosophy

  • 2 years ago

Prove that the range of \[1 + \sin ^{2} x\] is between 1 and 2, inclusive. How do I show this?

  • This Question is Closed
  1. AravindG
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    sin x maximum vallue is 1

  2. AravindG
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    so max value of exp will be 2

  3. AravindG
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    now minimum value when x=0 sin x=0

  4. AravindG
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    so minimum value =1

  5. AravindG
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    so 1+x^2 has values [1,2]

  6. AravindG
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    gt tht?

  7. AravindG
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    becaus sin x max value is 1

  8. akash_809
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    sinx , minimum value =-1, sin^2x , minimum value =0 ( sin^2x) cant be negative and maximum value of sin^2x=1....put sin^2x=1 for maximum value and put sin^2x=0 for minimum value

  9. akash_809
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes maximum value is 2

  10. AravindG
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    so to maximise sin^x+1 ,,,,sin x maximum should be there

  11. AravindG
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    ie 1+1=2

  12. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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
  • 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.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.