Answer
$\dfrac{1+\sqrt 2}{2}$
Work Step by Step
We need to compute $\sin 45^{\circ}+\cos 60^{\circ}$.
We use the know unit circle values to simplify as follows:
$\sin 45^{\circ}+\cos 60^{\circ}=\dfrac{\sqrt 2}{2}+\dfrac{1}{2} \\=\dfrac{1+\sqrt 2}{2}$