$$\sinh(x) \equiv \frac{e^x - e^{-x}}{2}$$ $$\cosh(x) \equiv \frac{e^x + e^{-x}}{2}$$ $$\tanh(x) \equiv \frac{\sinh(x)}{\cosh(x)} = \frac{e^{2x} - 1}{e^{2x} + 1 ...

Excel has built-in functions for sine and cosine, the two core trigonometric functions, and for hyperbolic sine and hyperbolic cosine, their hyperbolic counterparts. It also has built-in functions for ...

Explore the amplitude, period, and phase shift by examining the graphs of various trigonometric functions. Students can select values to use within the function to explore the resulting changes in the ...

For importance of the trigonometric integrals, we have in this paper finding a series of power, some of trigonometric functions that did not exist before in the first section. As shown in the Section ...