Results 1 to 4 of 4

Math Help - Trigonometric and Hyperbolic Identities

  1. #1
    Newbie
    Joined
    Nov 2012
    From
    lincoln
    Posts
    3

    Trigonometric and Hyperbolic Identities

    Anyone help with the answer to the following questions:

    Question 1 - Using Maclaurins series
    find the first 4 terms of the expansion of Sinh(2x)

    Question 2 - Review the expression 5.5 Cost + 7.8 Sin t and solve for t for values in the range 0
    t ≤ 2 π rad; 5.5Cost + 7.8 Sin t = 4.5

    Question 3 - An oil company drills a well 10kms deep. Estimate the total cost of drilling if the cost is 20 for drilling the first metre with an increase of 3 per metre for each succeeding metre
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,409
    Thanks
    1294

    Re: Trigonometric and Hyperbolic Identities

    Can you show us what you've tried?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Nov 2012
    From
    lincoln
    Posts
    3

    Re: Trigonometric and Hyperbolic Identities

    Question 2.2 - Hence solve for t for values in the range 0≤ t ≤ 2π rad: 5.5 Cost + 7.8 Sin t = 4.5:

    Answer; 9.544Sin(t + 0.614) = 4.5

    Sin (t + 0.614) = 4.5
    9.544

    t + 0.614 = Sin-1 [4.5]
    [9.544]

    Therefore; t = Sin-1 [4.5] - 0.614 and t = 27.517,152.48
    [9.544]
    Question 2 - Review the expression 5.5 Cost + 7.8 Sin t and solve for t for values in the range 0 ≤ t ≤ 2 π rad; 5.5Cost + 7.8 Sin t = 4.5


    Answer; (x) = Sinh x (0) = Sinh0 = e - e = 0
    2

    I(x) = Cosh x I(0) = Cosh 0 = e + e = 1
    2

    lI(x) = Sinh x II(0) = Sinh 0 = 0

    III(x) = Cosh x III(0) = Cosh 0 = 1

    iv(x) = Sinh x iv(0) = Sinh 0 = 0

    To plot the results into Maclaurins Series gives; (2x for x)

    So; Sinh 2x = 0 + 2x(1) + (2x)2 (0) + (2x)3 (1) + (2x)4 (0) + (2x)5 (1)
    2 3 4 5

    Therefore; Sinh (2x) = 2x + (2x)3 + (2x)5 +
    3 5
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Nov 2012
    From
    lincoln
    Posts
    3

    Re: Trigonometric and Hyperbolic Identities

    Guys, Please note some of the numbers where they should have been over each other i.e 4.5 have moved
    9.544
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Hyperbolic trig identities?
    Posted in the Calculus Forum
    Replies: 3
    Last Post: August 3rd 2011, 05:06 AM
  2. Integration Using Hyperbolic Identities
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 23rd 2011, 05:15 AM
  3. Hyperbolic Identities
    Posted in the Calculus Forum
    Replies: 2
    Last Post: September 16th 2009, 06:25 AM
  4. Hyperbolic Function Identities
    Posted in the Calculus Forum
    Replies: 2
    Last Post: September 12th 2009, 01:20 PM
  5. proving hyperbolic Identities
    Posted in the Calculus Forum
    Replies: 4
    Last Post: January 28th 2007, 07:08 AM

Search Tags


/mathhelpforum @mathhelpforum