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Math Help - Calculate percentage error of area of triangle using calculus (maybe taylor series?)

  1. #1
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    Calculate percentage error of area of triangle using calculus (maybe taylor series?)

    The area A of a triangle is given by the formula A =1/2 bc sin x . The two lengths b an c and the angle x can each be measured to an accuracy of 1%. Calculate to two decimal places the percentage error in A if x is designed to take the value pi/4

    The solution definitely involves some form of calculus/differentiation. I tried using the taylor series but got confused.


    Any help is appreciated.

    Thanks in advance!
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  2. #2
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    Re: Calculate percentage error of area of triangle using calculus (maybe taylor serie

    Hey gregsapa.

    Hint: Can you show us your work for the taylor series expansion around the point a = pi/4 for sin(x)?
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  3. #3
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    Re: Calculate percentage error of area of triangle using calculus (maybe taylor serie

    hey chiro,

    I didnt get very far to be honest as i didnt know what to substitue for f_x, f_y, and a and b

    i tried to used the formula below to get a percentage

    Calculate percentage error of area of triangle using calculus (maybe taylor series?)-screen-shot-2013-03-19-03.22.23.png
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