New posts in Trigonometric Series

$\frac{d}{dx}(\sin(x^{\frac{1}{3}}))$ from first principle

$ \sum_{n=1}^\infty \csc^2(\omega\pi n)= \frac{A}{\pi} +B $

$\cos\theta\cos2\theta\cos3\theta + \cos2\theta\cos3\theta\cos4\theta + ...$

prove that $ \sin(x+y)=\sin{x} \cdot \cos{y} +\sin{y} \cdot \cos{x} $ using power series (without trigonometric identities)

Study the sequence $x_n=\sqrt[n]{2^{n\sin 1}+2^{n\sin 2}+\cdots+2^{n\sin n}}$.

Prove by induction that $\sum _{r=1}^n \cos((2r-1)\theta) = \frac{\sin(2n\theta)}{2\sin\theta}$ is true $\forall \ n \in \mathbb{Z^+}$

$\sum_{n=1}^\infty a_n \cos nx$ unbounded near $0$ if $\sum a_n$ diverges?

$\lim\limits_{s\to0^+}\sum_n\frac{\cos\left(\pi\frac{n}{m}\right)}{n^s}$ & $\lim\limits_{s\to0^+}\sum_n\frac{\sin\left(\pi\frac{n}{m}\right)}{n^s}$

Consecutively Adding Sines

Asymptotic behaviour of sum