Results 1 to 2 of 2

Math Help - verify this one

  1. #1
    Newbie
    Joined
    Oct 2005
    Posts
    3

    verify this one

    ((1+sin x)/cos x) + (cos x/(1+sin x)) = 2sec x
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Apr 2005
    Posts
    1,631
    ((1+sin x)/cos x) + (cos x/(1+sin x)) = 2sec x

    Lefthand Side
    = ((1+sin x)/cos x) + (cos x/(1+sin x))
    Combine the two fractions into one fraction only,
    = [(1 +sin x)(1 +sin x) +(cos x)(cos x)] / [(cos x)(1 +sin x)]
    = [(1 +2sin x +sin^2 x) +(cos^2 x)] / [(cos x)(1 +sin x)]
    = [1 +2sin x +sin^2 x +cos^2 x] / [(cos x)(1 +sin x)]
    Since sin^2 x +cos^2 x = 1, then,
    = [1 +2sin x +1] / [(cos x)(1 +sin x)]
    = [2 +2sin x] / [(cos x)(1 +sin x)]
    = [2(1 +sin x] / [(cos x)(1 +sin x)]
    = [2] / [(cos x)]
    = 2sec x
    = Righthand Side

    Verified.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Verify that x = 1 => fg(x) = gf(x)
    Posted in the Algebra Forum
    Replies: 8
    Last Post: June 27th 2010, 07:05 PM
  2. verify
    Posted in the Algebra Forum
    Replies: 5
    Last Post: January 25th 2010, 05:33 PM
  3. Please verify
    Posted in the Algebra Forum
    Replies: 3
    Last Post: January 14th 2010, 11:46 PM
  4. verify uh...
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: September 30th 2009, 11:37 PM
  5. Verify
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: September 7th 2008, 07:08 PM

Search Tags


/mathhelpforum @mathhelpforum