Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

moneybird

What is the ordered pair of positive intgers (a,b) for which a/b is a reduced fraction and \[x = \frac{a \pi}{b}\] is the least positive solution of the equation: \[(2 \cos (8x) - 1)(2 \cos (4x) - 1)(2 \cos (2x) - 1)(2 \cos (x) - 1) = 1\]?

  • 2 years ago
  • 2 years ago

  • This Question is Closed
  1. agdgdgdgwngo
    Best Response
    You've already chosen the best response.
    Medals 0

    0?

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

    i don't know the solution

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

    \( 2 \pi \) ?

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

    how do you get that?

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

    What course are you taking moneybird that this problem came from?

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

    Grade 10 math

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

    ty

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

    This equation will be true if each factor = 1. Each factor will equal 1 if x = 0. So a/b, which must be 2 positive integers is 2/1

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

    how about 1 factor is 4, and 1 factor is 1/4

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

    That could not be true. The largest value of the cos is 1

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

    So the largest value of 2cos x is 2

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

    The maximum of every parenthetical is 1, the minimum is -2. You would need multiplicative inverses and even factors of positive for this to work

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

    Regardless of the value of x

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

    Let me think about it

    • 2 years ago
  15. sunsetlove
    Best Response
    You've already chosen the best response.
    Medals 1

    good work

    • 2 years ago
    • Attachments:

See more questions >>>

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.