query: Is there a simple way to calculate $\sin \frac{3\pi}{10}-\sin \frac{\pi}{10}$?
positive_passages.docid: 90226
positive_passages.text: Proving trigonometric equation $\cos(36^\circ) - \cos(72^\circ) = 1/2$
negative_passages.docid: 105622
negative_passages.text: How to show $ \sin x \geq \frac{2x}{\pi}, x \in [0, \frac{\pi}{2}]$?
negative_passages.docid: 64268
negative_passages.text: How does a calculator calculate the sine, cosine, tangent using just a number?
negative_passages.docid: 49306
negative_passages.text: Calculation of $\int_0^{\pi} \frac{\sin^2 x}{a^2+b^2-2ab \cos x}\mathrm dx$
negative_passages.docid: 154216
negative_passages.text: Solve $\sin(z) = z$ in complex numbers
negative_passages.docid: 60709
negative_passages.text: How do I get $\cos{\theta} \lt \frac{\sin{\theta}}{\theta} \lt 1$?
negative_passages.docid: 12841
negative_passages.text: Ratio of sines given, find ratio of cosines?
negative_passages.docid: 149913
negative_passages.text: Evaluate $\iint dy\,dx;\frac{\pi}{4}\leq\theta \leq\frac{3\pi}{4};0\leq r\leq2$
negative_passages.docid: 46394
negative_passages.text: If $\frac{\cos \alpha}{\cos \beta}+\frac{\sin \alpha}{\sin \beta}=-1$, find $\frac{\cos^3\beta}{\cos \alpha}+\frac{\sin^3\beta}{\sin \alpha}$.
negative_passages.docid: 42391
negative_passages.text: Calculate $\tan9^{\circ}-\tan27^{\circ}-\tan63^{\circ}+\tan81^{\circ}$
negative_passages.docid: 617
negative_passages.text: Find θ: $β=\arctan\frac{(R+r)·\sin(θ)-r·\sin(θ(1+\frac{R}{r}))}{(R+r)·\cos(θ)-r·\cos(θ(1+\frac{R}{r}))}$
negative_passages.docid: 25032
negative_passages.text: How to calculate $\theta = \arcsin\left(\frac{1}{2}\right)$ with given four function calculator?
negative_passages.docid: 129443
negative_passages.text: $f(\theta) = \cos \theta - \sqrt{3}\sin \theta$ in the form $r\sin(\theta-\alpha)$
negative_passages.docid: 29517
negative_passages.text: How to find continued fraction of pi
negative_passages.docid: 120168
negative_passages.text: How to calculate $\int_{0}^{\pi/2}{\{\tan(x)\}dx}$
negative_passages.docid: 139411
negative_passages.text: Finding $\pi$ factorial
negative_passages.docid: 101587
negative_passages.text: Calculating $\int_{- \infty}^{\infty} \frac{\sin x \,dx}{x+i} $