If cos⁻¹x/a - cos⁻¹y/b = π/3 and sin⁻¹x/a + sin⁻¹y/b = (2π)/3, then find the value of 4(x²)/(a²) +…

If $\cos^{-1}\frac{x}{a} - \cos^{-1}\frac{y}{b} = \frac{\pi}{3}$ and $\sin^{-1}\frac{x}{a} + \sin^{-1}\frac{y}{b} = \frac{2\pi}{3}$, then find the value of $4\frac{x^2}{a^2} + \frac{y^2}{b^2}$.