Solution (1)∵PC⊥ plane ABC, AB? 6? 3 aircraft ABC, ∴ PC ⊥ AB.
∵CD⊥ aircraft PAB, AB? 6? 3 aircraft Pabu, ∴ CD ⊥ AB.
PC∩CD=C, ∴AB⊥ flat PCB ..
(2) Take the midpoint e of AP and connect CE and DE.
∵PC=AC=2,∴CE⊥PA,CE= 2。
∵CD⊥ Aircraft Company,
De ⊥ pa is obtained from the inverse theorem of three vertical line theorems.
∴∠CED is the plane angle of dihedral angle c-pa-b.
From (1)AB⊥ flat PCB and ab = bc, BC= 2. Available.
In Rt△PCB, PB= PC2+BC2=6.
CD=PC? 6? 1BCPB=2×26=23。
At Rt△CDE,
sin∠CED= CDCE=232=63。
∴ cos∠CED=33