## Trigonometry (10th Edition)

$\sin$46$^{\circ}$ $\lt$ $\cos$46$^{\circ}$ is false.
$\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.