I could use some help determining the arc length determined by the function:
f(x) = sin x over the interval
I know that I need to use the formula
which leads to evaluating: ,
which looks like it should be easy to do, but I'm just missing it. I've tried Pythagorean Indentity and power reduction formulas to replace but to no avail. As always, your help would be greatly appreciated.
This is the same thing as saying
which is the same thing as saying
Of course this becomes the quadratic equation
This has a value, and is therefore no problemmmmo!
In other words, what i'm trying to say is that
will be equal to for some value of theta. We need to find that out!