Results 1 to 2 of 2

Math Help - Trig Problem

  1. #1
    Newbie
    Joined
    Oct 2008
    Posts
    9

    Trig Problem

    Need help with this:

    tan(pi/2 + arctan(1/2))

    Cheers!
    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 Erzenwald View Post
    Need help with this:

    tan(pi/2 + arctan(1/2))

    Cheers!
    Here is my way but you can do the way you want...

    \tan(x)=\frac{\sin(x)}{\cos(x)}

    \sin \left(\tfrac \pi 2+x\right)=\cos(x)
    \cos \left(\tfrac \pi 2+x\right)=-\sin(x)
    (you can check it on a unit circle)

    Therefore \tan \left(\tfrac \pi 2+x\right)=\frac{\cos(x)}{-\sin(x)}=-\frac{1}{\tan(x)}


    So \tan \left(\tfrac \pi 2+\arctan \left(\tfrac 12\right)\right)=-\frac{1}{\tan(\arctan \left(\tfrac 12\right))}=-\frac{1}{\tfrac 12}=\boxed{-2}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Trig word problem - solving a trig equation.
    Posted in the Trigonometry Forum
    Replies: 6
    Last Post: March 14th 2011, 08:07 AM
  2. Replies: 3
    Last Post: January 2nd 2011, 09:20 PM
  3. trig problem
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: May 13th 2009, 07:28 PM
  4. trig problem
    Posted in the Trigonometry Forum
    Replies: 3
    Last Post: December 10th 2008, 05:23 AM
  5. trig problem
    Posted in the Math Topics Forum
    Replies: 2
    Last Post: April 1st 2008, 03:16 AM

Search Tags


/mathhelpforum @mathhelpforum