Answer
$\sin$46$^{\circ}$ $\lt$ $\cos $46$^{\circ}$ is false.
Work Step by Step
$\sin$46 < $\cos$46
We must first get the inequality in terms of $\sin$
$\cos$ $A$ = $\sin$ (90$^{\circ}$ - $A$)
Therefore:
$\cos$ 46 = $\sin$(90$^{\circ}$ - 46$^{\circ}$)
$\cos$ 46 = $\sin $44$^{\circ}$
The inequality could be rewritten: $\sin $46 < $\sin$44
From 0$^{\circ}$ to 90$^{\circ}$, as the angle increases, so does the $sine$ of the angle.
Therefore: $\sin$46$^{\circ}$ $\lt$ $\sin $44$^{\circ}$ is false.
Therefore: $\sin$46$^{\circ}$ $\lt$ $\cos $46$^{\circ}$ is false.
