query: Trigonometric identity between sines of multiples of $\pi/70$
positive_passages.docid: 95633
positive_passages.text: Help with this trigonometry problem
negative_passages.docid: 86454
negative_passages.text: How to prove $\cos\left(\pi\over7\right)-\cos\left({2\pi}\over7\right)+\cos\left({3\pi}\over7\right)=\cos\left({\pi}\over3 \right)$
negative_passages.docid: 12741
negative_passages.text: How to prove that: $\tan(3\pi/11) + 4\sin(2\pi/11) = \sqrt{11}$
negative_passages.docid: 114411
negative_passages.text: Simple Proof of the Euler Identity $\exp{i\theta}=\cos{\theta}+i\sin{\theta}$
negative_passages.docid: 149447
negative_passages.text: Proving $\sin (x)=\cos (90^\circ-x)$
negative_passages.docid: 104427
negative_passages.text: Sines and cosines of angles in arithmetic progression
negative_passages.docid: 98745
negative_passages.text: To prove $(\sin\theta + \csc\theta)^2 + (\cos\theta +\sec\theta)^2 \ge 9$
negative_passages.docid: 127759
negative_passages.text: Prove that $\frac{\sin(a)}{\sin(b)} < \frac{a}{b} < \frac{\tan(a)}{\tan(b)}$ where $0 < b < a < \frac{\pi}{2}$
negative_passages.docid: 104828
negative_passages.text: Show that $\cot \frac{\pi}{2m}\cot \frac{2\pi}{2m}\cot \frac{3\pi}{2m}...\cot \frac{(m-1)\pi}{2m}=1$
negative_passages.docid: 48586
negative_passages.text: Prove: $\cot x=\sin x\,\sin\left(\frac{\pi}{2}-x\right)+\cos^2x\,\cot x$
negative_passages.docid: 120795
negative_passages.text: Showing that $\sin^2x\cdot\sin^22x\cdot\sin^24x\cdot\sin^28x\cdots\sin^22^nx\leq\frac{3^n}{4^n}$
negative_passages.docid: 17168
negative_passages.text: Find the value of $\sin\frac{2\pi}{7}+\sin\frac{4\pi}{7}+\sin\frac{8\pi}{7}$
negative_passages.docid: 7500
negative_passages.text: $\arctan$ of a square root as a rational multiple of $\pi$
negative_passages.docid: 84730
negative_passages.text: use the fact that $\tan 2x=\sin2x \ /\cos2x$ to prove that $\tan 2x=2\tan x/(1-\tan^2x)$
negative_passages.docid: 62522
negative_passages.text: Sine is algebraically less than cosine in given interval.
negative_passages.docid: 9986
negative_passages.text: Prove $ \sin(A+B)\sin(A-B)=\sin^2A-\sin^2B $
negative_passages.docid: 118992
negative_passages.text: How to prove the identity $3\sin^4x-2\sin^6x=1-3\cos^4x+2\cos^6x$?