The line $x= \large\frac{\pi}{4}$ divides the area of the region bounded by $y=\sin x, y= \cos x$ and x-axis $\bigg(0 \leq x \leq \large\frac{\pi}{2}\bigg)$ into two regions of areas $A_1$ and $A_2$. Then $A_1 : A_2=$

Question

\[\begin {array} {1 1} (1)\;4:1 & \quad (2)\;3:1 \\ (3)\;2:1 & \quad (4)\;1:1 \end {array}\]