Lecture

Trigonometric Functions and Derivatives

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Description

This lecture covers the concepts of trigonometric functions, derivatives, and their applications. It includes the definition of hyperbolic functions, the calculation of derivatives, and the integration of trigonometric functions. The instructor demonstrates how to apply these concepts to solve mathematical problems.

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Related concepts (32)

Hyperbolic functions

In mathematics, hyperbolic functions are analogues of the ordinary trigonometric functions, but defined using the hyperbola rather than the circle. Just as the points (cos t, sin t) form a circle with a unit radius, the points (cosh t, sinh t) form the right half of the unit hyperbola. Also, similarly to how the derivatives of sin(t) and cos(t) are cos(t) and –sin(t) respectively, the derivatives of sinh(t) and cosh(t) are cosh(t) and +sinh(t) respectively. Hyperbolic functions occur in the calculations of angles and distances in hyperbolic geometry.

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