If \(\sin^{-1}x+\sin^{-1}y=\frac{\pi}{2}\), then value of \(\cos^{-1}x+\cos^{-1}y\) is

\(\frac{\pi}{2}\) \(\pi\) \(0\) \(\frac{2\pi}{3}\)

\(\frac{\pi}{2}\)

\(\sin^{-1}x+\cos^{-1}x=\frac{\pi}{2}\)