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

• Mar 18th 2013, 05:45 PM
gregsapa
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.

• Mar 18th 2013, 06:21 PM
chiro
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)?
• Mar 18th 2013, 07:23 PM
gregsapa
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

Attachment 27592