Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

henpen

  • 3 years ago

Solve \[\sin(x+iy)=0\]

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

    I got \[y=0, x=2\pi n\]Correct?

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

    seems correct.

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

    But are these the only solutions?

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

    they are already infinite....and u know y must be 0 cos sin of imaginary number can't be real

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

    \[\sin(x+iy)=\sin x \cosh y+i \cos x \sinh y\]

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

    *because sin of...

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

    Cosine can- cosh is a real function. It's imaginary for reals, however

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

    cosine can never be imaginary hyperbolic cos can be...i think this is your point...

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

    Yes. Thanks, I've got it now.

  10. 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