query: How to solve $\sin^{-1}(x)=\sin^{-1}(2/5) +\sin^{-1}(3/5)$?
positive_passages.docid: 18473
positive_passages.text: Proof for the formula of sum of arcsine functions $ \arcsin x + \arcsin y $
negative_passages.docid: 30600
negative_passages.text: Why does $\tan^{-1}(1)+\tan^{-1}(2)+\tan^{-1}(3)=\pi$?
negative_passages.docid: 145463
negative_passages.text: How to factorise $2 \sin^2θ – 3\sinθ +1 = 0$
negative_passages.docid: 7296
negative_passages.text: Prove $(1-\cos x)/\sin x = \tan x/2$
negative_passages.docid: 19056
negative_passages.text: Find the limit of $(2\sin x-\sin 2x)/(x-\sin x)$ as $x\to 0$ without L'Hôpital's rule
negative_passages.docid: 73538
negative_passages.text: solving $\cos z + \sin z = i$
negative_passages.docid: 40235
negative_passages.text: How would I differentiate $\sin{x}^{\cos{x}}?$
negative_passages.docid: 33010
negative_passages.text: Roots of $ x^{13} - e^{-x} + x - sin(x) = 0$
negative_passages.docid: 45343
negative_passages.text: Solve $\cos^{n}x-\sin^{n}x=1$ with $n\in \mathbb{N}$.
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: 56170
negative_passages.text: Solve a complex equation symbolically?
negative_passages.docid: 93372
negative_passages.text: How to solve CSC = sin-1?
negative_passages.docid: 117587
negative_passages.text: $\int_{0}^{1}\frac{\sin^{-1}\sqrt x}{x^2-x+1}dx$
negative_passages.docid: 91521
negative_passages.text: Ambiguity of notation: $\sin(x)^2$
negative_passages.docid: 43537
negative_passages.text: How can $x^2y''-3xy'+3y=0$ be solved?
negative_passages.docid: 27628
negative_passages.text: Solving $a \sin\theta + b \cos\theta = c$
negative_passages.docid: 16337
negative_passages.text: Find the solution of $\lfloor \sin^{-1}(x)\rfloor>\lfloor \cos^{-1}(x)\rfloor$