Results 1 to 7 of 7

Math Help - If sec =2, find the possible values of tan theta

  1. #1
    Junior Member
    Joined
    Mar 2009
    Posts
    34

    If sec =2, find the possible values of tan theta

    just got a question to ask, If sec =2, find the possible values of tan theta? have to prepare for upcoming test in 2 days ==
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member
    Joined
    Nov 2011
    From
    Crna Gora
    Posts
    420
    Thanks
    64

    Re: If sec =2, find the possible values of tan theta

    Quote Originally Posted by kl050196 View Post
    just got a question to ask, If sec =2, find the possible values of tan theta? have to prepare for upcoming test in 2 days ==
    \sec \theta = \frac {1}{\cos \theta } \Rightarrow \cos \theta = \frac {1}{\sec \theta} \Rightarrow \cos \theta = \frac{1}{2} \Rightarrow

    \Rightarrow \theta_1 = \frac{\pi}{3}+2k\pi \land \theta_2= \frac{5\pi}{3}+2k\pi
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Mar 2009
    Posts
    34

    Re: If sec =2, find the possible values of tan theta

    what's the 2kpi at the end?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Senior Member
    Joined
    Nov 2011
    From
    Crna Gora
    Posts
    420
    Thanks
    64

    Re: If sec =2, find the possible values of tan theta

    Quote Originally Posted by kl050196 View Post
    what's the 2kpi at the end?
    period of cosine....it is irrelevant for your calculation so you can omit it...
    Follow Math Help Forum on Facebook and Google+

  5. #5
    MHF Contributor

    Joined
    Apr 2005
    Posts
    16,048
    Thanks
    1684

    Re: If sec =2, find the possible values of tan theta

    Another way to look at it: draw a right triangle with hypotenuse of length 2 and and "near side" of length 1 so the angle is \theta. Use the Pythagorean theorem to find the length of the "opposite side". tan(\theta) is, of course, "opposite side over near side".
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Junior Member
    Joined
    Mar 2009
    Posts
    34

    Re: If sec =2, find the possible values of tan theta

    OOOOOOO now i see, thanks sooo much princeps and HallsofIvy
    Follow Math Help Forum on Facebook and Google+

  7. #7
    Junior Member
    Joined
    Mar 2009
    Posts
    34

    Re: If sec =2, find the possible values of tan theta

    Thank youuuu
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Find the trigonometric values of theta.
    Posted in the Pre-Calculus Forum
    Replies: 4
    Last Post: February 15th 2011, 03:56 AM
  2. Find the two possible values of theta
    Posted in the Trigonometry Forum
    Replies: 3
    Last Post: June 8th 2010, 04:54 PM
  3. Replies: 3
    Last Post: February 6th 2009, 03:19 PM
  4. Replies: 1
    Last Post: January 23rd 2009, 09:53 AM
  5. find exact values for theta
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: February 28th 2008, 04:00 PM

/mathhelpforum @mathhelpforum