Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

Period of the function cos{(x + 3)−[x + 3]}, where [x] denotes the integral part of x is

Options:

1

2

π

Correct Answer:

1

Explanation:

x − [x] is a periodic function with period 1.

∴ (x + 3)−[x + 3] is a periodic function with period 1.

∴ cos{(x + 3)−[x + 3]} is a periodic function with period 1.