A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Anikate

  • one year ago

find all solutions: sec^2 theta -sec theta -2= 0 i'll post the equation

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

    |dw:1434503139480:dw|

  2. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    This is a quadratic equation in sec theta. You can do a substitution. Replace sec theta with x. Solve the quadratic. Then replace x with sec theta in all the solutions and solve the trig part.

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

    |dw:1434503305674:dw|

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

    now substitute x for \[\sec \theta\] ?

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

    in coordination with what 'mathstudent55' here is a picture.

    1 Attachment
  6. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    No. That is not what I meant. Don't just replace theta with x. Let sec(theta) = x Then sec^2(theta) = x^2 Now rewrite the original equation with x^2 instead of sec^2(theta) and with x instead of sec(theta). That's the substitution you make.

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

    oh

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

    now solve for x

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

    |dw:1434503782102:dw|

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

    ok

  11. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1434503819026:dw|

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

    |dw:1434503813310:dw|

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

    |dw:1434503847634:dw|

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

    look at the pic i attached

  15. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1434503868680:dw|

  16. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Good. we have the same. Now find the two values of x.

  17. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Can you finish the quadratic and find the values of x? |dw:1434504047082:dw|

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

    x= 2 and x=-1 @mathstudent55

  19. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Correct. We have finished solving the quadratic equation part of this problem. Now we need to solve the trig part of this equation. We now need to substitute back what we did above. |dw:1434504555288:dw|

  20. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Since above we let sec(theta) equal x, we replace x with what it really is, sec(theta)

  21. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1434504659195:dw|

  22. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Now we need to solve for theta.

  23. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    The secant is the reciprocal of what trig function?

  24. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1434505158584:dw|

  25. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Where is the cosine function equal to 1/2, and where is the cosine function equal to -1?

  26. 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.