How can I use calculus to analyze errors in angle measurements?

[lovemake1]

URGENT URGENT ... Error Analysis in angle

Homework Statement

This is very urgent i could not find out how to find the error in my angles... using calculus
this is not my level but i must do it somehow..
i would love to see some steps that i can follow.

i know that for example E = mgh
dE/dm = gh
dE/dg = mh
dE/dh = mg


but how do do the same for
theta = Sin(o/h)

someone gave me this step but i do not know how to proceed from here...
d(theta)=1/sqrt(1-(o/h)^2)

please help... this is very urgent...

Homework Equations

The Attempt at a Solution

 

[ideasrule]

Relax. I'm going to sleep now, but I've posted a response in your Calculus thread. Check there.

 

[cepheid]

i know that for example E = mgh
dE/dm = gh
dE/dg = mh
dE/dh = mg

Well, this is only true if these derivatives are partial derivatives (normally written as follows):

∂E/∂m = gh

but how do do the same for
theta = Sin(o/h)

Well, you need to find out the derivative of the sine function, which is relatively simple. Do you know any calculus?

 

[lovemake1]

no our grade 12 class is only past 1st term.
we have not yet learned calculus... but forsome reason we must know it by tom for our
assignment.. help