If is periodic, then must be
Rational
Explanation for the correct option:
Step 1: Write the period of the trigonometric functions :
All trigonometric functions are periodic functions. The time period is the length of a complete sine wave or one complete cycle of the curve.
Therefore, the period of the functions
Step 2: Take Least common multiple (LCM)
Where the Highest common factor (HCF)
Now,
Hence, the correct option is (B).