And cos (π-a) =-cosasin (3π-a) = sin (2π+π-a) = sin (π-a).
sin(-π-a)=sin-(π+a)= -sin(π+a)
sin(9π/2+a)=sin(4π+? π+a)=sin(? π+a)=cosa
As long as the inductive formula is memorized, it can be used quickly.
cos(π—a)sin(3π—a)sin(-π—a)sin(9π/2+a)
=-cosa sin(π-a)-sin(π+a)sin 4π+(π/2+a)
(Simplified) =-COSA Sina-SIN (-a) COSA
= -cos? A sin? a