Quantcast

A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

gabeverizon

  • 2 years ago

Use a half-angle formula to simplify: (sin4 theta)/(1+cos4theta).

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

    \[\sin4\theta/1+\cos4\]

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

    oh ok :) hmm

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

    The bottom half should read: (1+cos 4 theta)

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

    Ok so this appears to be the `Tangent Half-Angle Identity`. \[\large \tan \frac{x}{2}=\frac{\sin x}{1+\cos x}\]

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

    So we appears to have something that looks like the `right` side of this identity, yes?

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

    appear*

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

    right, yes.

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

    If it helps, maybe make a substitution. Let \(\large x=4\theta\) We know that this will simplify down to \(\large \tan \dfrac{x}{2}\). So from here, \(\large x=4\theta\), solve for x/2! :)

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

    is that confusing? :c

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

    Ok, never mind that post, I got it. Thanks!!

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

    k c:

  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.