sin ( 45 ∘ ) cos ( 45 ∘ ) = 2 2 ⋅ 2 2 = 2 4 = 1 2 {\displaystyle \sin {(45^{\circ })}\cos {(45^{\circ })}={\frac {\sqrt {2}}{2}}\cdot {\frac {\sqrt {2}}{2}}={\frac {2}{4}}={\frac {1}{2}}}