If \(\frac{\pi}{2} \leq x \leq \frac{3 \pi}{4}\), then cos-1\(\left(\frac{12}{13} \cos x+\frac{5}{13} \sin x\right)\) is equal to
1
\(x-\tan ^{-1} \frac{4}{3}\)
2
\(x-\tan ^{-1} \frac{5}{12}\)
3
\( x+\tan ^{-1} \frac{4}{5}\)
4
\(x+\tan ^{-1} \frac{5}{12}\)