Упростите выражение 16cos8acos4acos2asin2a

Question

Упростите выражение 16cos8acos4acos2asin2a

Answer 1

16*cos8a*cos4a*cos2a*sin2a=
=8*cos8a*cos4a*(2sin2a*cos2a)=
=8*cos8a*cos4a*sin4a=
=4*cos8a*(2*sin4a*cos4a)=
=4*cos8a*sin8a=
=2*(2*sin8a*cos8a)=
=2sin16a