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

Question

Which of the following function(s) is/are periodic with period π ? (where [.] denotes the greatest integer function) (A) f ( x )=| sin x | (B) f(x)=[x+π] (C)  f ( x )= cos ( sin x ) (D) f ( x )= cos 2 x

Tardigrade Admin · Accepted Answer

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

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

$f (x) = ∣ sin x ∣$

$f (x) = [x + π]$

$f (x) = cos (sin x)$

$f (x) = cos^{2} x$

Correct answer is (a) $f (x) = ∣ sin x ∣$ Correct answer is (c) $f (x) = cos (sin x)$ Correct answer is (d) $f (x) = cos^{2} x$

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

f(x)=∣sinx∣

f(x)=[x+π]

f(x)=cos(sinx)

f(x)=cos2x