# 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 $$2\pi$$.

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