Results 1 to 4 of 4

Math Help - Expressing in terms of sin.

  1. #1
    Junior Member
    Joined
    Dec 2008
    Posts
    54

    Expressing in terms of sin.

    I'm having a little trouble on this problem. Any insight?

    Express in terms of sin.

     \frac{1  +  \cos\Theta} {\sin\Theta}  +   \frac{\sin\Theta}  {1 + \cos\Theta}
    Last edited by Intrusion; December 15th 2008 at 02:08 PM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Oct 2008
    From
    Singapore
    Posts
    160
    (1 + cosO)(1 + cosO) + sin0 / sin0( 1 + cosO )
    1 + 2cos0 + cos0^2 + sin0^2 / sin0( 1 + cosO )
    1 + 2cos0 + 1 / sin0( 1 + cosO ) take note cos0^2 + sin0^2 = 1
    2 + 2cos0 / sin0( 1 + cosO )
    2( 1 + cosO ) / sin0( 1 + cosO )
    2/ sin0
    Last edited by tester85; December 16th 2008 at 07:04 PM. Reason: typo
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Dec 2008
    Posts
    54
    Thanks, although I figured out the correct answer is actually  \frac{2} {\sin\Theta}, but your work helped me.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,707
    Thanks
    627
    Hello, Intrusion!

    Another approach . . .


    Express in terms of \sin\theta

    . . \frac{1 + \cos\theta}{\sin\theta} + \frac{\sin\theta} {1 + \cos\theta}
    Multiply the second fraction by \frac{1-\cos\theta}{1-\cos\theta}

    . . \frac{1+\cos\theta}{\sin\theta} + \frac{\sin\theta}{1 + \cos\theta}\cdot{\color{blue}\frac{1-\cos\theta}{1 - \cos\theta}} \;=\; \frac{1+\cos\theta}{\sin\theta} + \frac{\sin\theta(1 - \cos\theta)}{1-\cos^2\!\theta}


    . . = \;\frac{1+\cos\theta}{\sin\theta} + \frac{\sin\theta(1 - \cos\theta)}{\sin^2\!\theta} \;=\;\frac{1+\cos\theta}{\sin\theta} + \frac{1 - \cos\theta}{\sin\theta} . = \;\frac{2}{\sin\theta}

    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] expressing sin(x) in terms of tan(x)
    Posted in the Trigonometry Forum
    Replies: 4
    Last Post: October 14th 2010, 01:32 AM
  2. Expressing x in terms of y
    Posted in the Pre-Calculus Forum
    Replies: 6
    Last Post: August 18th 2009, 07:29 AM
  3. Expressing Sin(2p) in terms of x
    Posted in the Trigonometry Forum
    Replies: 4
    Last Post: January 28th 2009, 01:49 AM
  4. Expressing In Terms of a And b
    Posted in the Algebra Forum
    Replies: 3
    Last Post: January 15th 2009, 07:14 PM
  5. expressing in terms
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: January 31st 2006, 10:15 AM

Search Tags


/mathhelpforum @mathhelpforum