If you look here, you will find some useful information. With your linear relationship, it should be rather straight-forward to compute what you need. What have you done so far?
Please can anyone help solve this? Many Thanks
The side a of a triangle ABC is calculated from the following formula:
a/SIN (A) = b/ SIN (B)
where lower case refers to the sides and upper case refers to the angles opposite those sides. The side b maybe in error by 3.5%
A=56 degrees
B- 44 degrees
Using partial differentiation find the greatest % error in calculated value of a to 5dp
Thanks
That's not the way we operate around here. In this forum, we don't hand out the answers. We help you get unstuck, perhaps. You're supposed to do the work, the heavy lifting. This is all for your benefit. Remember the Chinese proverb:could you also provide the answer to the question?
Tell me, and I forget. Show me, and I remember. Make me do it, and I understand.
Understanding is what's going to be truly useful for you.
This problem is really almost done. What would you do next?
This is what I have managed to do and keep getting the answer as 3.5% which I know is incorrect as the system is marking my answer as incorrect.
da = [sin(A)/sin(B)] db
da/a = [sin(A)/(a sin(B))] db = [b sin(A)/(a sin(B))] db/b
multiply both sides of the Law of Sines result by sin(A) sin(B), you get
a sin(B) = b sin(A)
so
b sin(A) / (a sin(B)) = 1
Therefore,
da/a = db/b
I am clearing doing something wrong. Thanks