Statement 1 :  ${\sin }^{-1}\left[Tan\left\{Ta{n}^{-1}x+Ta{n}^{-1}\left(1-x\right)\right\}\right]=\frac{\pi }{2}$ has no non-zero integral solution
Statement 2 :  $Tan18°=\sqrt{\frac{25-10\sqrt{5}}{5}}$
 

Statement-1 is true, statement-2 is true; statement-2 is a correct explination for statement-1

Statement-1 is true, statement-2 is true; statement-2 is not a correct explination for statement-1

Statement-1 is true, statement-2 is false

Statement-1 is false, statement-2 is true.