MATLAB: How to solve equation with elliptic integral for modulous

elliptic integral

I have an equation 
a_eq*sqrt(P1/B) = ellipticK(k1^2) - ellipticF(m1,k1^2)
where,
B = 1.3761E-4,
P1 = 0.4905,
a_eq = 9.5E-3,
k1 = sin{(theta +alpha +pi)/2} a
and 
 m1 = arcsin[ sin{(alpha + pi )/2}/k1].
Here, I want to solve for theta and for that I have to solve for k1.
How to solve for k1 in this equation?

Best Answer

Solve
a_eq*sqrt(P1/B) = ellipticK(k1^2) - ellipticF(arcsin[ sin{(alpha + pi )/2}/k1],k1^2)
for k1.
Once you have k1, you can solve for theta.
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