Trigonometry
Determine the exact value of the expression without using a calculator.
sin(sin−125+tan−1(−4))\sin\left(\sin^{-1}\frac25+\tan^{-1}\left(-4\right)\right)sin(sin−152+tan−1(−4))
4357−21785\frac{4\sqrt{357}-2\sqrt{17}}{85}854357−217
−4357+21785\frac{-4\sqrt{357}+2\sqrt{17}}{85}85−4357+217
−1185-\frac{11}{85}−8511
31755\frac{3\sqrt{17}}{55}55317