Results 1 to 4 of 4

Math Help - Please find exact value without calculator

  1. #1
    Member
    Joined
    Oct 2007
    Posts
    134

    Please find exact value without calculator

    Please explain how to find exact value without the calculator

    sec ( tan^-1 5)

    Thank you
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Moo
    Moo is offline
    A Cute Angle Moo's Avatar
    Joined
    Mar 2008
    From
    P(I'm here)=1/3, P(I'm there)=t+1/3
    Posts
    5,618
    Thanks
    6
    Hello,
    Quote Originally Posted by oceanmd View Post
    Please explain how to find exact value without the calculator

    sec ( tan^-1 5)

    Thank you
    Recall that 1+\tan^2u=\sec^2u

    So \sec^2(\tan^{-1}(5))=1+[\tan(\tan^{-1}(5))]^2=1+(5)^2=6

    Now you have to see in which quadrant \tan^{-1}(5) is in order to get the sign of \sec(\tan^{-1}(5))

    Looks good to you ?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Behold, the power of SARDINES!
    TheEmptySet's Avatar
    Joined
    Feb 2008
    From
    Yuma, AZ, USA
    Posts
    3,764
    Thanks
    78
    Quote Originally Posted by oceanmd View Post
    Please explain how to find exact value without the calculator

    sec ( tan^-1 5)

    Thank you

    Draw a triangle...

    Please find exact value without calculator-capture.jpg

    Then use the pythagorean theorem to find the unkown sides.

    Then use the definiton of Sec to find the wanted ratio.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Member
    Joined
    Oct 2007
    Posts
    134
    TheEmptySet,

    Thank you very much.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: May 6th 2012, 03:16 PM
  2. Find Exact Value without Calculator
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: July 11th 2011, 04:26 AM
  3. Exact Value of the expression without a calculator
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: June 22nd 2011, 01:59 AM
  4. How find the 3 value of x by using Calculator
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: October 17th 2010, 06:34 AM
  5. Find Exact Value Without Calculator
    Posted in the Pre-Calculus Forum
    Replies: 9
    Last Post: August 21st 2008, 03:50 PM

Search Tags


/mathhelpforum @mathhelpforum