Results 1 to 2 of 2

Math Help - Conditional Trigonometric Equations

  1. #1
    Junior Member
    Joined
    Nov 2006
    Posts
    62

    Conditional Trigonometric Equations

    Solve in the interval [0,2], answer as a multiple of pi.
    The first on is (sin(t))^2=1/2 and her is what I did.
    t= sqrt(1/2)= +-sqrt(2)/2
    so, t=pi/4 or t=5pi/4

    the next one is the same type but uses cosine.
    (cos(t))^2=3/4
    t= +-sqrt(3)/2
    so, t=pi/6 or -5pi/6

    When someone has time could they look this over and let me know if I am going in the right direction with these.

    Thank you very much!!
    Keith Stevens
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,803
    Thanks
    114
    Quote Originally Posted by kcsteven View Post
    Solve in the interval [0,2], answer as a multiple of pi.
    The first on is (sin(t))^2=1/2 and her is what I did.
    t= sqrt(1/2)= +-sqrt(2)/2
    so, t=pi/4 or t=5pi/4

    the next one is the same type but uses cosine.
    (cos(t))^2=3/4
    t= +-sqrt(3)/2
    so, t=pi/6 or -5pi/6

    When someone has time could they look this over and let me know if I am going in the right direction with these.
    Thank you very much!!
    Keith Stevens
    Hello,

    first I've a question: Is the domain really [0, 2]? Or do you mean [0, 2pi]?

    The results of the first problem are OK.

    According to your domain you can't use negative results. And: 5/6*pi = 2.61... that means, it is not in your domain. The only possible result is pi/6.

    EB
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Six trigonometric equations
    Posted in the Trigonometry Forum
    Replies: 4
    Last Post: July 21st 2010, 08:17 PM
  2. Conditional Trigonomettric Equations help need
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: August 24th 2008, 01:24 PM
  3. Conditional Trigonometric Equations, Helpo!!
    Posted in the Trigonometry Forum
    Replies: 12
    Last Post: August 24th 2008, 12:12 PM
  4. Conditional Trigonometric Equations
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: February 12th 2008, 07:08 PM
  5. Trigonometric equations
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: September 4th 2007, 02:50 PM

Search Tags


/mathhelpforum @mathhelpforum