# For the sake of periodicity - Part 3

**Geometry**Level 4

Which of the following statements is/are incorrect?

Statement **B**: Both the functions \(\cos^2 (\sin x)\) and \(\cos (\sin x)\) are periodic with the fundamental period \(\pi\).

Statement **E**: Both the functions \(\cos^2 (\sin x)\) and \(\cos (\sin x)\) are periodic with the fundamental period \(2\pi\).

Statement **S**: Both the functions \(\sin^2 (\sin x)\) and \(\sin (\sin x)\) are periodic with the fundamental period \(\pi\).

Statement **T**: Both the functions \(\sin^2 (\sin x)\) and \(\sin (\sin x)\) are periodic with the fundamental period \(2\pi\).