Arc-ed up

Geometry Level 2

\[\large \arcsin 1 + \arccos 1 + \arctan 1 + \text{arccot} \, 1 + \text{arcsec} \, 1 + \text{arccsc} \,1 = \ ? \]

\[0\] \[\dfrac{\pi}{4}\] \[\dfrac{\pi}{2}\] \[\dfrac{3\pi}{4}\] \[\pi\] \[\dfrac{5\pi}{4}\] \[\dfrac{3\pi}{2}\] \[\dfrac{7\pi}{4}\]