If the inverse trigonometric functions take principal values, then \( \cos^{-1}\!\left(\frac{3}{10}\cos\!\left(\tan^{-1}\!\left(\frac{4}{3}\right)\right)+\frac{2}{5}\sin\!\left(\tan^{-1}\!\left(\frac{4}{3}\right)\right)\right) \) is equal to:
\( 0 \)
\( \frac{\pi}{4} \)
\( \frac{\pi}{3} \)
\( \frac{\pi}{6} \)