Its been a while since I really had to deal with an equation like this, and I might just be missing a simple trig identity. I would really appreciate any help you might be able to give me.
I don't believe I have made any mistakes getting here because I can extrapolate the solution from a graphing calc, and the solution works in my application.
I am trying to solve for Θ in the following equation (I am working in degrees):
ΔL = (π * r * Θ / 45) - (4 * r * sinΘ)
The Triangle is a "delta". It signifies a change in that value. In this case, I am working out the change in length of a series of arcs that starts and ends at the same points of a straight line.
Yes, working with degrees when using PI can be confusing, and I could change it, but the CAD program that I am working with works best in degrees, not radians. I apologize for confusing the numbers further.
All of that aside, your equation is correct.
Hello gwammyYou won't be able to get an exact solution to an equation like this. You'll have to use some sort of numerical method ; e.g. Newton's method. Or if you have access to a spreadsheet (e.g. Excel), then it's very quick to use a 'goal seek' method to find to give a particular value of .
Grandad