Sinus as an infinite polynomial
24311
Proving $\frac{\sin x}{x} =\left(1-\frac{x^2}{\pi^2}\right)\left(1-\frac{x^2}{2^2\pi^2}\right) \left(1-\frac{x^2}{3^2\pi^2}\right)\cdots$
30480
Continued product in $\sin$ series
35855
Closed form for an infinite product
18967
Linear independence of $\sin(x)$ and $\cos(x)$
42362
Show that the dual space of the vector space of all polynomials is isomorphic to the infinite-dimensional Euclidean vector space over the reals
42988
Complex polynomial and the unit circle
27540
A polynomial can not have infinite number of constant values
40502
The Degree of Zero Polynomial.
81682
Proving the algebraic set corresponding to a polynomial is infinite.
46642
Continuity of $\sin(x)/x$
96354
Linear independence of $\sin(x)$, $\sin(2x)$, $\sin(3x)$ in Map($\mathbb{R},\mathbb{R}$)
114146
Polynomial in $n$ variables
141273
When is $\sin(x)$ rational?
99105
Are the functions $\sin^n(x)$ linearly independent?
111569
Property of a polynomial with no positive real roots
27675
Polynomials vanishing on an infinite set
139614
Polynomial bounded real part of an entire function