question_answer

If \[\sin 2\left( \frac{2}{1}.\frac{3}{2}.\frac{4}{3}....\frac{x-1}{x-2} \right)=1,\]\[0<x<100\], find the value of \[x\].

A)  \[\text{91}{}^\circ \]                     

B)  \[\text{8}0{}^\circ \] 

C)  \[\text{49}{}^\circ \]                     

D)  \[\text{46}{}^\circ \]