query: Expressing the arctan function in a different form?
positive_passages.docid: 19216
positive_passages.text: Proving that $\arctan(x)+\arctan(1/x)=\pm \pi/2$, could this line of reasoning possibly be correct?
negative_passages.docid: 95673
negative_passages.text: General formula for $\sin\left(k\arcsin (x)\right)$
negative_passages.docid: 77821
negative_passages.text: Taylor series expansion of function $f(x) = \frac{\arcsin(x)}{\sqrt{1-x^2}}$
negative_passages.docid: 46378
negative_passages.text: Trig substitution; why can we ignore the absolute value?
negative_passages.docid: 68504
negative_passages.text: Compute $\int_0^1 \frac{\arcsin(x)}{x}dx$
negative_passages.docid: 147334
negative_passages.text: We have angle=arctan(dy/dx), but what happens when dx=0?
negative_passages.docid: 48956
negative_passages.text: Simplify $\arctan (\frac{1}{2}\tan (2A)) + \arctan (\cot (A)) + \arctan (\cot ^{3}(A)) $
negative_passages.docid: 55259
negative_passages.text: ArcTan[z] and ArcTan[x,y], Restriction and Conversion
negative_passages.docid: 104453
negative_passages.text: A question about the arctangent addition formula.
negative_passages.docid: 8225
negative_passages.text: Calculating the integral $\int_{1/3}^{3}\frac{\arctan(x)}{x^2-x+1}\;\mathrm{d}x$
negative_passages.docid: 71796
negative_passages.text: Proving $\rm \frac i 2 \ln\frac {x+i}{x-i}=\arctan x$ .
negative_passages.docid: 5747
negative_passages.text: $\cos(\arcsin(x)) = \sqrt{1 - x^2}$. How?
negative_passages.docid: 158210
negative_passages.text: showing $\arctan(\frac{2}{3}) = \frac{1}{2} \arctan(\frac{12}{5})$
negative_passages.docid: 100007
negative_passages.text: Express partial derivatives of second order (and the Laplacian) in polar coordinates
negative_passages.docid: 150200
negative_passages.text: finding $\lim_{n\rightarrow\infty}\sum_{r=1}^{n}\arctan\left(\frac{2r}{1-r^2+r^4}\right)$
negative_passages.docid: 93212
negative_passages.text: Express $\sqrt{3}\sin\theta - \cos\theta$ as: $a\cos (\theta + \alpha) $
negative_passages.docid: 71681
negative_passages.text: Asymptotic expansion of $u_{n + 1} = \frac12 \arctan(u_n)$