Cho \(\sin x = \frac{3}{5}\left( {\frac{\pi }{2} < x < \pi } \right).\) Tính \(\sin 2x,\,\,\cot x,\,\,\tan \left( {x - \frac{\pi }{4}} \right).\)
A.\(\sin 2x = - \frac{24}{25}\,\,;\,\,\cot x = - \frac{3}{4}\,\,;\,\,\tan \left ( x - \frac{\pi }{4} \right ) = - 7\)
B.\(\sin 2x = - \frac{12}{25}\,\,;\,\,\cot x = - \frac{4}{3}\,\,;\,\,\tan \left ( x - \frac{\pi }{4} \right ) = - 5\)
C.\(\sin 2x = \frac{24}{25}\,\,;\,\,\cot x = \frac{3}{4}\,\,;\,\,\tan \left ( x - \frac{\pi }{4} \right ) = 7\)
D.\(\sin 2x = \frac{12}{25}\,\,;\,\,\cot x = \frac{4}{3}\,\,;\,\,\tan \left ( x - \frac{\pi }{4} \right ) = 5\)
