query: How would you go about proving the following relation about the |sin(x)| value of consecutive numbers?
positive_passages.docid: 155572
positive_passages.text: How to prove that at least one of the absolute values of sin(n) , sin(n+1)),sin(n+2) is greater than 0.5
negative_passages.docid: 149447
negative_passages.text: Proving $\sin (x)=\cos (90^\circ-x)$
negative_passages.docid: 33628
negative_passages.text: Prove that $\sin(\sqrt x)$ not periodic
negative_passages.docid: 75679
negative_passages.text: How to prove that $2 \arctan\sqrt{x} = \arcsin \frac{x-1}{x+1} + \frac{\pi}{2}$
negative_passages.docid: 1859
negative_passages.text: Proving $\arctan(\sqrt{x^2+1}-x)=\frac{\pi}{4}-\frac{1}{2}\arctan(x)$
negative_passages.docid: 123476
negative_passages.text: Prove $[\sin x]' = \cos x$ without using $\lim\limits_{x\to 0}\frac{\sin x}{x} = 1$
negative_passages.docid: 22367
negative_passages.text: How do I prove that for every positive integer $n$, there exist $n$ consecutive positive integers, each of which is composite?
negative_passages.docid: 103757
negative_passages.text: how can I prove that $\frac{\arctan x}{x }< 1$?
negative_passages.docid: 6465
negative_passages.text: How to prove periodicity of $\sin(x)$ or $\cos(x)$ starting from the Taylor series expansion?
negative_passages.docid: 114411
negative_passages.text: Simple Proof of the Euler Identity $\exp{i\theta}=\cos{\theta}+i\sin{\theta}$
negative_passages.docid: 96388
negative_passages.text: Prove $\sin(x)\tan(x) > x^2$ for $x \in ( \,0, \frac{\pi}{2}) \,$
negative_passages.docid: 104841
negative_passages.text: Can $\sin n$ get arbitrarily close to $1$ for $n\in\mathbb{N}?$
negative_passages.docid: 118687
negative_passages.text: Prove an inequality with a $\sin$ function: $\sin(x) > \frac2\pi x$ for $0<x<\frac\pi2$
negative_passages.docid: 137844
negative_passages.text: Proof of $\sin nx=2^{n-1}\prod_{k=0}^{n-1} \sin\left( x + \frac{k\pi}{n} \right)$
negative_passages.docid: 10289
negative_passages.text: Need help in proving that $\frac{\sin\theta - \cos\theta + 1}{\sin\theta + \cos\theta - 1} = \frac 1{\sec\theta - \tan\theta}$
negative_passages.docid: 7003
negative_passages.text: Inductive proof of a formula for Fibonacci numbers
negative_passages.docid: 122169
negative_passages.text: Prove $\sin(\pi/2)=1$ using Taylor series