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Trigonometric functions in terms of a unit circle context

The trigonometric functions can be described on an x-y coordinate plane (Euclidean plane) using a circle of radius 1 unit and cutting a sector that subtends an angle θ at the centre. Refer to the diagram below for details.

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Chebyshev Polynomials Series: Exploring Patterns in Polynomial Coefficients

Discover the fascinating relationship between Chebyshev polynomials of the second kind and binomial coefficients in this exploration of series. Chebyshev Polynomials Series.