Results 1 to 4 of 4

Math Help - Rewrite in terms of tan x

  1. #1
    Newbie
    Joined
    Jul 2012
    From
    U.S
    Posts
    10

    Rewrite in terms of tan x

    I failed this exam miserably.. Please help me correct this!

    Rewrite (sec x + csc x) ( sin x + cos x) -2-cot x in terms of tan x


    I appreciate your help!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,406
    Thanks
    1294

    Re: Rewrite in terms of tan x

    Quote Originally Posted by Calcgirl View Post
    I failed this exam miserably.. Please help me correct this!

    Rewrite (sec x + csc x) ( sin x + cos x) -2-cot x in terms of tan x


    I appreciate your help!
    \displaystyle \begin{align*} \left(\sec{x} + \csc{x}\right)\left(\sin{x} + \cos{x}\right) - 2 - \cot{x} &= \left(\frac{1}{\cos{x}} + \frac{1}{\sin{x}}\right)\left(\sin{x} + \cos{x}\right) - 2 - \cot{x} \\ &= \frac{\sin{x}}{\cos{x}} + 1 + 1 + \frac{\cos{x}}{\sin{x}} - 2 - \cot{x} \\ &= \tan{x} + \cot{x} - \cot{x} \\ &= \tan{x} \end{align*}
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Jul 2012
    From
    U.S
    Posts
    10

    Re: Rewrite in terms of tan x

    Thank you sooo much! It makes so much sense now!
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Junior Member
    Joined
    Jul 2012
    From
    Jaipur,Rajasthan
    Posts
    36
    Thanks
    1

    Re: Rewrite in terms of tan x

    Hy,
    Whenever you see the terms like sec x, cosec x, cot x try to convert these angles in the terms of cos x, sin x, tam x. This may help you a lot in solving question & also make it simpler & easier to solve the question.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. How can you rewrite powers like this: a^x - b^x?
    Posted in the Pre-Calculus Forum
    Replies: 5
    Last Post: November 14th 2009, 02:37 AM
  2. rewrite equation
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: October 15th 2009, 06:01 AM
  3. rewrite equation
    Posted in the Algebra Forum
    Replies: 6
    Last Post: July 8th 2007, 08:39 PM
  4. rewrite function
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: June 21st 2007, 04:36 PM
  5. Simple rewrite?
    Posted in the Algebra Forum
    Replies: 1
    Last Post: April 25th 2007, 04:27 PM

Search Tags


/mathhelpforum @mathhelpforum