Question

Which of the following function(s) is/are periodic with period $\pi$ ?
(where [.] denotes the greatest integer function)

• A. $f ( x )=|\sin x |$
• B. $f(x)=[x+\pi]$
• C. $ f ( x )=\cos (\sin x )$
• D. $f ( x )=\cos ^2 x$

Answer 1

Answer: (A), (C), (D)

Correct answer is (a) $f ( x )=|\sin x |$Correct answer is (c) $ f ( x )=\cos (\sin x )$Correct answer is (d) $f ( x )=\cos ^2 x$