Because the cosine, sine, and Hartley transforms are very similar to the FT, it is reasonable to think they can also be generalized by the similar way. We introduce several new transforms. They are ...

Amid the chaos of revolutionary France, one man’s mathematical obsession gave way to a calculation that now underpins much of ...

How Do I Graph Sine and Cosine Functions? A cosine curve is graphed similarly to a sine curve, but is out of phase with it.

In the study of circular functions, the unit circle plays a central role in linking angles with trigonometric values. By defining sine, cosine, and tangent in terms of coordinates on a circle of ...

The Sine and Cosine Rules for calculating the measurements of non-right-angled triangles are obtained through the application of trigonometry. The derivation of each rule is provided at the end of ...

In this paper, we derive a relation for the circular convolution operation in the discrete sine and cosine transform domains. The transform coefficients are either symmetric or asymmetric and hence we ...