Considering only the principal values of the inverse trigonometric functions, the value of \( \tan\!\left(\sin^{-1}\!\left(\frac{3}{5}\right)-2\cos^{-1}\!\left(\frac{2}{\sqrt{5}}\right)\right) \) is
\( \frac{7}{24} \)
\( \frac{-7}{24} \)
\( \frac{-5}{24} \)
\( \frac{5}{24} \)
