To horizontally stretch the sine function by a factor of
c, the function must be
altered this way:
y = f (x) = sin(cx) . Such an alteration changes the
period of the function. For
example, continuing to use sine as our representative trigonometric function,
the period of a sine function is
, where
c is the coefficient of
the angle. Usually
c = 1, so the period of the
sine function is
2Π. Below are pictured the sine curve, along with the
following functions, each a horizontal stretch of the sine curve:
y = f (x) = sin(2x) and
y = f (x) = sin(
).
