The

sine function is a periodic function that repeats values at regular intervals.

Again the choice of the

sine function instead of the cosine function here is arbitrary but has no physics difference.

The difference of sensor output under different temperature could be approximate

sine functions to roll angle, and the amplitude of the sine curve is also an approximate

sine function to inclination.

Equations (1), (2) and (3) gives the relation between Koch fractal area and S parameters with three different fit types of Gaussian, Fourier and Sum of

Sine functions respectively.

The model used a

sine function for the temperature rising from the minimum on the current day to the maximum for that day, a

sine function for the temperature falling to a transition point, then a decay function from the transition point to the minimum of the following day.

We hypothesized that following Stage 1 most participants would demonstrate a marked improvement in their ability to construct formulas associated with various types of graphical representations of cosine and

sine functions, but that they would encounter difficulty during a second series of tests in Baseline 2 when exposed to a novel series of reciprocal functions.

Since the induced voltage is the

sine function of the rotation angle [alpha], the induced power is also the

sine function of the angle [alpha], but with the cycle of [pi], as shown in Figure 9.

In the following analyses, the realistic distribution of ambient temperature simulated using the

sine function, when the seasonal effects are covered by the mean value of the sine and the daily cycles are defined by the amplitude of the

sine function.

If a function and all its derivatives and integrals are absolutely uniformly bounded, then the function is a

sine function with period 2[pi] This is Roe's theorem (14).

We can achieve this by raising the sine to a low fractional power, say 1/40 (we have to be careful about the signs, so we take absolute value of

sine function and restore the sign using the signum function:

4) If after these two, the reader persists in wanting more on how modern society inherited the

sine function and its relatives, read Van Brummelen.

The

sine function in its modern form was first defined in the Surya Siddhanta and its properties were further documented by the fifth century Indian mathematician and astronomer Aryabhata.

The approximation of the height changes distribution by

sine function was used as a simple method that could prove certain regularity in observed values.

For example, we developed the fact that the

sine function maps vertical and horizontal lines to hyperbolas and ellipses, respectively.

limb kinematics during gait) and thus a

sine function may provide a reasonable approximation to the movement: X(t) = sin(t).