A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

if 0 is less then theta less than 360 degrees solve sec^2+2sec(2theta)=0

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

    |dw:1436553239686:dw|

  2. amoodarya
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\frac{1+2\cos \theta}{\cos^2\theta}=0\\1+2\cos \theta=0\\cos \theta =\frac{-1}{2}\]

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

    @amoodarya can you explain where your getting the one? is that a formula?

  4. amoodarya
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\sec \theta =\frac{1}{\cos \theta}\]

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

    @amoodarya alright so how would you go about solving that then with everything applied?

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

    @amoodarya where would the 2sec(2theta) go in the formula? isn't it suppose to be at the bottom not top?

  7. amoodarya
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\sec^2\theta +2\sec \theta=0\\ \frac{ 1 }{ \cos^2\theta }+2\frac{ 1 }{ \cos \theta }=0\\\frac{ 1 }{ \cos^2\theta }+2\frac{ \cos \theta }{ \cos^2 \theta }=0\\\frac{1+2 \cos \theta }{ \cos^2 \theta }=0\\1+2 \cos \theta=0\\ \cos \theta=\frac{-1}{2}\]

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

    @amoodarya so the answer is -1/2 then? is there a way to check it?

  9. amoodarya
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    check for what ?

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

    for -1/2

  11. amoodarya
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\cos (\theta)=-0.5\\ \theta =\pm(\frac{2\pi}{3})+2k \pi\]

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

    What does that mean exactly?

  13. amoodarya
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    if you mean denominator goes to zero , you are in a right way but in your case , no problem \[denominator \neq 0\]

  14. amoodarya
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1436554471870:dw|

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

    Ooohhhhh I see now haha thank you very much!!!

  16. 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.