11.1

Part of VII Soros Olympiad 2000 - 01

Problems(1)

y(x)=cos (cos x)+ a sin (sin x) is periodic (VII Soros Olympiad 2000-01 R1 11.1)

Source:

Prove that for any

a

y (x) = \cos (\cos x) + a \cdot \sin (\sin x)

is periodic. Find its smallest period in terms of

a

functionperiodic functionPeriodicity