Question

Question #b2073

Answer 1

Period `color(purple)(w = pi`

Explanation:

The period of the sine curve is the length of one cycle of the curve.

The natural period of the sine curve is 2π. So, a coefficient of b=1 is equivalent to a period of 2π.

To get the period of the sine curve for any coefficient b, just divide 2π by the coefficient b to get the new period of the curve.

Period is given by

`w = (2pi)/|B|`

For `y = sin (2t)`, `B = 2`

`:. w = (2pi) / 2 = pi`