Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

mathslover

  • 2 years ago

Are the angles \(\alpha\) and \(\beta\) given by, \(\large{\alpha = ( 2n + \frac{1}{2}) \pi \pm A}\) and \(\large{\beta = n \pi + (-1)^n (\frac{\pi}{2} - A)}\) same where \(\large{n \in I}\)

  • This Question is Closed
  1. mathslover
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    There is ^ belongs to " n belongs to I " I means integers

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

    @ParthKohli @experimentX @amistre64 @phi @.Sam.

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

    \[n \in \mathbb Z \]

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

    Yeah ... sorry I didn't know the sign for "belongs to" in LaTeX . btw any hint for the question ?

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

    I don't think they are equal.

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

    I'm looking at it. What is \(A\)?

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

    is \(A\) any real number?

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

    Of course it is.

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

    anything, that is not given in the question ..

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

    I tried to take : firstly n as even i.e. n = 2k and the second time n = 2k + 1

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

    I solved that for beta for i) n = 2k and then ii) n = 2k + 1

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

    Yes, that's what I have done too!

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

    that gives the resultant one as: \[\large{\beta = (2k + \frac{1}{2})\pi \pm A}\]

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

    \[\large \beta = n\pi + \dfrac{\pi}{2} - A = \dfrac{2\pi n+ \pi}{2}{\pm A}{}\]Yesh

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

    \[\large \alpha = \dfrac{4\pi n + \pi}{2} \pm A\]BTW, that's - A in the above post

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

    Your argument seems valid.

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

    gotta go, exam tomorrow. :-(

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

    well it should be solved like this : \[\large{\textbf{For n = 2k , n is even}}\] \[\large{k(2\pi) + \frac{\pi}{2} - A}\] \[\large{\textbf{ For n = 2k + 1, n is odd }}\] \[\large{(2k) \pi + \frac{\pi}{2} + A }\] \[\large{\beta = (2k)\pi + \frac{\pi}{2} \pm A}\] \[\large{\implies n\pi + \frac{\pi}{2}\pm A = \beta}\]

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

    therefore Beta is not equal to alpha ... Best of luck @ParthKohli

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

    @ash2326

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

    • Attachments:

Ask your own question

Ask a Question
Find 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
  • 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.