Isolating a variable in an equation

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The discussion focuses on isolating the variable theta from the given equation involving trigonometric functions and constants. The user initially presented an incorrect version of the equation but later corrected it, clarifying the terms involved. Key points include the cancellation of certain terms and the challenge of simplifying the equation to express theta in terms of k1, k2, L, m, and g. The user is seeking assistance with trigonometric identities to solve the equation effectively. Overall, the goal is to derive theta from the corrected equation.
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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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