A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Find an exact value. sine of nineteen pi divided by twelve. quantity square root of two minus square root of six divided by four. quantity square root of six minus square root of two divided by four. quantity square root of six plus square root of two divided by four. quantity negative square root of six minus square root of two divided by four. @ganeshie8

  • This Question is Open
  1. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @ganeshie8

  2. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @zepdrix

  3. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    wut 0_o wuts going on here

  4. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i need help with this

  5. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\Large\rm \sin\left(\frac{19\pi}{12}\right)=\sin\left(\frac{19\pi/6}{2}\right)\]We can start there, ya? And maybe apply half-angle formula? What do you think? :3

  6. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okay yes

  7. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\Large\rm \sin\left(\frac{\color{orangered}{\theta}}{2}\right)=\pm\sqrt{\frac{1-\cos\color{orangered}{\theta}}{2}}\]

  8. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So then for our problem,\[\Large\rm \sin\left(\frac{\color{orangered}{19\pi/6}}{2}\right)=\pm\sqrt{\frac{1-\cos\color{orangered}{\frac{19\pi}{6}}}{2}}\]

  9. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok

  10. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    What's cosine of 19pi/6? Hmm that angle is too large.. it's larger than 2pi, so we should try to unwind it by subtracting some 2pi's from it

  11. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\Large\rm \frac{19\pi}{6}-2\pi\quad=\quad \frac{19\pi}{6}-\frac{12\pi}{6}=\frac{7\pi}{6}\]Ya?

  12. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So our problem becomes,\[\Large\rm \pm\sqrt{\frac{1-\cos\color{orangered}{\frac{7\pi}{6}}}{2}}\]

  13. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    All we did was spin around the circle once and land in the same spot, to get a better angle to work with.

  14. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Now simplify +_+

  15. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i have trouble simplifying that..

  16. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    bust out your unit circle or something.. to get the cosine value :U requires some memorization to get those down

  17. zepdrix
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    cosine is the x coordinate

  18. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[-\sqrt{6}-\sqrt{2}/4?\]

  19. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    is that it?

  20. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @zepdrix

  21. 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.