The set of all possible values of $\theta$ in the interval $( 0 , \pi )$ for which the points $( 1,2 )$ and $( \sin \theta , \cos \theta )$ lie on the same side of the line $x + y = 1$ is?\\
(1) $\left( 0 , \frac { \pi } { 2 } \right)$\\
(2) $\left( \frac { \pi } { 4 } , \frac { 3 \pi } { 4 } \right)$\\
(3) $\left( 0 , \frac { 3 \pi } { 4 } \right)$\\
(4) $\left( 0 , \frac { \pi } { 4 } \right)$