sin ( 45 ∘ ) + cos ( 60 ∘ ) = 2 2 + 1 2 = 1 2 ( 2 + 1 ) {\displaystyle \sin(45^{\circ })+\cos(60^{\circ })={\frac {\sqrt {2}}{2}}+{\frac {1}{2}}={\frac {1}{2}}\left({\sqrt {2}}+1\right)}