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Question 1 of 1
1. Question
If f(x) = sin x  cos 2x + 2x  [2x], where [ ] denotes greatest integer function, then f(x) is
A) a periodic function with period
B) a periodic function with period
C) a periodic function with period 1
D) not a periodic functionCorrectThe periods of sin and cos functions are irrational numbers, whereas the period of 2x  [2x] = {2x} is 1 which is a rational number. The LCM of irrational numbers and rational number does not exist.
IncorrectThe periods of sin and cos functions are irrational numbers, whereas the period of 2x  [2x] = {2x} is 1 which is a rational number. The LCM of irrational numbers and rational number does not exist.