query: Find the value of $\cos 1^\circ + \cos 2^\circ + \cos 3^\circ +.....+\cos 180^\circ $
positive_passages.docid: 9479
positive_passages.text: $\sum \cos$ when angles are in arithmetic progression
negative_passages.docid: 59003
negative_passages.text: Product of cosines: $ \prod_{r=1}^{7} \cos \left(\frac{r\pi}{15}\right) $
negative_passages.docid: 42391
negative_passages.text: Calculate $\tan9^{\circ}-\tan27^{\circ}-\tan63^{\circ}+\tan81^{\circ}$
negative_passages.docid: 60061
negative_passages.text: Find the value of : $\lim_{n\to\infty}\prod_{k=1}^n\cos\left(\frac{ka}{n\sqrt{n}}\right)$
negative_passages.docid: 131561
negative_passages.text: Find the value of $\left[\frac{1}{\sqrt 2}+\frac{1}{ \sqrt 3}+......+\frac{1}{\sqrt {1000}}\right]$
negative_passages.docid: 36063
negative_passages.text: Finding the limit of $(1-\cos x)/x^2$
negative_passages.docid: 81727
negative_passages.text: How can I find the following product? $ \tan 20^\circ \cdot \tan 40^\circ \cdot \tan 80^\circ.$
negative_passages.docid: 106803
negative_passages.text: How to see $\cos x \leq \exp(-x^2/2)$ on $x \in [0,\pi/2]$?
negative_passages.docid: 54512
negative_passages.text: How do I prove: $\cos (\theta + 90^\circ) \equiv - \sin \theta $
negative_passages.docid: 54435
negative_passages.text: What is the value of $1^i$?
negative_passages.docid: 113189
negative_passages.text: Find the sum of the series $1^2-2^2+3^2-4^2+...-(2n)^2$
negative_passages.docid: 53536
negative_passages.text: Maximum value of $f(x) = \cos x \left( \sin x + \sqrt {\sin^2x +\sin^2a}\right)$
negative_passages.docid: 54587
negative_passages.text: Finding value (Trigo Series)
negative_passages.docid: 33105
negative_passages.text: Find the value of $a^2-b^2+c^2$
negative_passages.docid: 26446
negative_passages.text: Find the sum : $\displaystyle\sum_{i=0}^n \frac{2^i}{1+x^{2^{i}}}$
negative_passages.docid: 74143
negative_passages.text: Simplifying and evaluating $\cot 70^\circ+4\cos 70^\circ$
negative_passages.docid: 61047
negative_passages.text: Find the coefficient of ${x^9}$ in the expansion of $ (1 + x)( 1 + x^2)( 1 + x^3)..(1 + x^{100})$