Results 1 to 9 of 9

Math Help - X Terminates in What Quadrant?

  1. #1
    Junior Member
    Joined
    Mar 2009
    Posts
    26

    X Terminates in What Quadrant?

    If  (sec x - 2)(2 sec x - 1) = 0 , then x terminates in:

    a) Quadrants I and II, only

    b) Quadrants I and IV, only

    c) Quadrants I, II, III, and IV

    d) Quadrant I, only
    Follow Math Help Forum on Facebook and Google+

  2. #2
    No one in Particular VonNemo19's Avatar
    Joined
    Apr 2009
    From
    Detroit, MI
    Posts
    1,823

    hello

    Solve for x, and determine the domain my son.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Mar 2009
    Posts
    26
    Hmm...I'm really not sure how to go about solving for x. Also, how would I determine the domain once I have x?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    No one in Particular VonNemo19's Avatar
    Joined
    Apr 2009
    From
    Detroit, MI
    Posts
    1,823
    When you solve a quadratic equation, in some cases you factor. Right.

    Well your problem looks a lot like something like this: (X+a)(X+b)=0

    and the solutions are: x=-a, x=-b

    Can you see my meaning?
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Junior Member
    Joined
    Mar 2009
    Posts
    26
    Quote Originally Posted by VonNemo19 View Post
    When you solve a quadratic equation, in some cases you factor. Right.

    Well your problem looks a lot like something like this: (X+a)(X+b)=0

    and the solutions are: x=-a, x=-b

    Can you see my meaning?
    So the domain would be the point (2,1), right? That point is located in the first quadrant, giving me the answer of "d".
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Newbie
    Joined
    Apr 2009
    Posts
    21
    Let secx = y
    therfore, y = 2 & y = 1/2
    Because both values are positive they are in the 1st and 4th quadrant.

    in the first quadrant everything is positive, in second quadrant only sin/cosec is positive, in the third quadrant only tan/cot is positive and in 4th quadrant cos/sec is positive.

    Is that what u were askin?
    Follow Math Help Forum on Facebook and Google+

  7. #7
    Junior Member
    Joined
    Mar 2009
    Posts
    26
    So the correct answer is choice "b"?
    Follow Math Help Forum on Facebook and Google+

  8. #8
    No one in Particular VonNemo19's Avatar
    Joined
    Apr 2009
    From
    Detroit, MI
    Posts
    1,823

    yes

    yes
    Follow Math Help Forum on Facebook and Google+

  9. #9
    Junior Member
    Joined
    Mar 2009
    Posts
    26
    Okay, thank you.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Help proving if this algorithm terminates
    Posted in the Discrete Math Forum
    Replies: 5
    Last Post: September 8th 2010, 07:47 PM
  2. Replies: 5
    Last Post: June 19th 2010, 03:49 PM
  3. Which Quadrant?
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: October 20th 2009, 03:02 PM
  4. Which Quadrant?
    Posted in the Algebra Forum
    Replies: 2
    Last Post: August 31st 2009, 09:07 PM
  5. Which quadrant is this in?
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: June 22nd 2005, 02:47 AM

Search Tags


/mathhelpforum @mathhelpforum