A Solvable Quintic Equation From The Chebyshev Polynomial

We will see an introduction to Chebyshev Polynomial, which is a polynomial in terms of cosine. And then we will use this polynomial to create a solvable quintic equation. This kind of polynomial equation from trigonometric identities is very classic. I also have seen this kind of equation on college admission math tests.

0:00 Introduction to Chebyshev Polynomial (of the first kind)
2:45 The recursive formula of the Chebyshev Polynomial
10:47 cos(5θ) in terms of cos(θ)
13:47 using cos(5θ) to produce a nice quintic equation

**what to watch next?**
My First Quintic Equation: https://youtu.be/YkEPMf1l2os
Angle sum identity: https://youtu.be/2SlvKnlVx7U
With complex number: https://youtu.be/OcXqF8l2crI
Read more: https://brilliant.org/wiki/chebyshev-polynomials-definition-and-properties/

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