Isolating a variable in an equation

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SUMMARY

The discussion centers on isolating the variable theta in the equation (k2)(L^2)sin(theta)cos(theta) + (k1)(L^2)sin(theta) - (k1)(L^2)sin(theta)cos(theta) - 0.5(m)(g)(L)cos(theta) = 0. Participants confirmed that the first and third terms do not cancel out, and the correct equation was clarified after initial typos. The goal is to express theta in terms of the constants k1, k2, L, m, and g.

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Homework Statement



given the equation:

(k1)(L^2)sin(theta)cos(theta)+(k2)(L^2)sin(theta)-(k1)(L^2)sin(theta)cos(theta)-.5(m)(g)(L)cos(theta) = 0

find theta in terms of k1,k2,L,m,g

I've been messing around with trig identities all day. I would really appreciate some help.
 
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At the risk of pointing out the obvious, don't the first and third terms cancel?
 
my bad, I had 2 typos in the equation. my notes has become such a mess, I can't even keep things straight on this problem anymore. here's the correct version:

(k2)(L^2)sin(theta)cos(theta)+(k1)(L^2)sin(theta)-(k1)(L^2)sin(theta)cos(theta)-.5(m)(g)(L)cos(theta) = 0

find theta in terms of k1,k2,L,m,g
 

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