Rearranging Equation

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>>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.

File: 2016-03-20_14h51_46.png (35KB, 648x714px) Image search: [Google]

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>>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 - 180º

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.

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>>7944830