Is it possible to prove that sin(\pi) = 0 using its series expansion?
122169
Prove $\sin(\pi/2)=1$ using Taylor series
28771
Prove that $\int_{0}^{1}\sin{(\pi x)}x^x(1-x)^{1-x}\,dx =\frac{\pi e}{24} $
81596
Series expansion at $x=0$ of $\frac{3x}{1+x^2 + x^4}$
129078
Proving the series $\sum_{n=0}^{\infty}\sin(e\pi n!)$ converges
126264
Does the series $\sum \limits _{n=0}^{\infty} \cos(n\pi)$ converge or diverge?
63237
Proving that $\lim_{n \rightarrow\infty} \int_{0}^{\frac{\pi}{2}} \sin(t^n) dt =0$
48086
Why is this series of square root of twos equal $\pi$?
46665
Solving $\cos x+\sin x-1=0$
119147
How to prove that $\sum_{n=1}^{\infty}\frac{|\sin{(n\theta_0)}|}{n}$ diverges for given $\theta_0\in (0,\pi)$?
150917
Show that $\lim_{n\to \infty}\sin{n\pi x} =0$ if $x\in \mathbb{Z},$ but the limit fails to exist if $x\notin \mathbb{Z}.$
35529
Prove that $\sin x+2x\ge\frac{3x(x+1)}{\pi}$ for all $x\in [0,\frac{\pi}{2}]$
149447
Proving $\sin (x)=\cos (90^\circ-x)$
70974
How can zero divided by $i$ be $2\pi$?
84420
When is $\sin(x) = \cos(x)$?
60230
Prove that $\frac{1+\sin\theta+i\cos\theta}{1+\sin\theta-i\cos\theta}=\sin\theta+i\cos\theta$
12604
Evaluate $\int_0^\pi xf(\sin x)dx$
123476
Prove $[\sin x]' = \cos x$ without using $\lim\limits_{x\to 0}\frac{\sin x}{x} = 1$