Remove parentheses.
\[\sin{({tan}^{-1}\times \frac{3}{4})}=\frac{3}{5}\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[\sin{(\frac{1}{tan}\times \frac{3}{4})}=\frac{3}{5}\]
Simplify \(\frac{1}{tan}\times \frac{3}{4}\) to \(\frac{3}{4tan}\).
\[\sin{(\frac{3}{4tan})}=\frac{3}{5}\]
Since \(\sin{(\frac{3}{4tan})}=\frac{3}{5}\) is false, there is no solution.
[No Solution]
