Respuesta :
The period of the function is 12π, the correct option is B.
What is the period of a function?
The period of a function is the distance in which the graph repeats itself.
For a trigonometric function, the length of one complete cycle is called the periodic function.
For the function
y = a sin (bx + c)
Here,
a is the amplitude,
b is the period of the sine curve, and
c is the phase shift of the sine curve
The amplitude is the height of the curve.
The coefficient of b = 1, for a period of 2π
To find the period of the sine curve for any coefficient b,
Divide 2π by the coefficient of b to get the new period of the curve.
The coefficient b and the period of the sine curve have an inverse relationship,
As b gets smaller, the length of one cycle of the curve gets bigger. Similarly, on increasing the value of b, the period will decrease.
The function is y = sin1/6x
The period of the function is,
= 2π / ( 1/6)
= 12π
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