Rearranging Equation
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I have an equation for finding a value of x in terms of theta.
That's fine. But now I have some value x and need to find theta. Algebra looked tricky so I stuck it into Wolfram.
I don't understand why Wolfram has included a new 'n' term and what I should be doing with it.
>>7944779
I remember seeing n*pi being substituted in some differential equation solutions but I don't know if it's the same thing.
Regardless, what am I meant to do with the 'n' in my new equation for theta? Just set it to 1?
n just allows it to be periodic, so long as n is an integer.
>>7944779
http://www.wolframalpha.com/input/?i=rearrange+x+%3D+r{[cos%28theta%29+%2B+q]+-+[%281%2F2q%29*sin%28theta%29^2]}+in+terms+of+theta
>>7944786
With x I was working "forward" to get a solution for something. I got my solution and didn't need n.
Now coming back to find theta, how do I deal with the n? Set it to 1?
>>7944779
I'm working in the range of 0 - 180ยบ
I set n to 1 and solved for theta.
However the answer Excel gives me is outside of that range so I think I need to do something but I don't know what I'm doing -
>Thinking out loud
Something about trig functions and quadrants... I don't think it's "root" because that implies crossing the x-axis. When the angle of a triangle has two possible solutions you do ............ to find all the possible solutions.
