query: Solving for $x$ in $A=B\cdot \cos(x)+C\cdot \sin(x)$
positive_passages.docid: 31575
positive_passages.text: Solving trigonometric equations of the form $a\sin x + b\cos x = c$
negative_passages.docid: 72403
negative_passages.text: Given $A+B+C=180^{\circ}$, find value of $\tan A\cdot\tan B+\tan B\cdot\tan C+\tan A\cdot \tan C-\sec A\cdot\sec B\cdot\sec C$
negative_passages.docid: 31387
negative_passages.text: Why is $\sin{x} = x -\frac{x^3}{3!} + \frac{x^5}{5!} - \cdots$ for all $x$?
negative_passages.docid: 105496
negative_passages.text: Need help solving - $ \int (\sin 101x) \cdot\sin^{99}x\,dx $
negative_passages.docid: 68881
negative_passages.text: Solve for $\theta$: $a = b\tan\theta - \frac{c}{\cos\theta}$
negative_passages.docid: 18903
negative_passages.text: Finding solutions to equation of the form $1+x+x^{2} + \cdots + x^{m} = y^{n}$
negative_passages.docid: 9490
negative_passages.text: Let $(1+x+x^2)^n=a_0+a_1x+a_2x^2+\cdots+a_{2n}x^{2n}$ be an identity in $x$. Find $a_0 +a_2 +a_4+ \cdots +a_{2n} $ in terms of $n$
negative_passages.docid: 20532
negative_passages.text: Are these solutions of $2 = x^{x^{x^{\:\cdot^{\:\cdot^{\:\cdot}}}}}$ correct?
negative_passages.docid: 82170
negative_passages.text: Solve $x = \frac{1}{2}\tan(x)$
negative_passages.docid: 55436
negative_passages.text: Why does $A\sin{k(x+c)}=a\sin{kx}+b\cos{kx}$ imply that $A=\sqrt{a^2+b^2}$ and $\tan{c}=-b/a$?
negative_passages.docid: 149447
negative_passages.text: Proving $\sin (x)=\cos (90^\circ-x)$
negative_passages.docid: 116270
negative_passages.text: Functional equations leading to sine and cosine
negative_passages.docid: 40615
negative_passages.text: Solve for $x$ in the $80^\circ$-$80^\circ$-$20^\circ$ triangle
negative_passages.docid: 154216
negative_passages.text: Solve $\sin(z) = z$ in complex numbers
negative_passages.docid: 61591
negative_passages.text: Solve simple trig equation
negative_passages.docid: 56170
negative_passages.text: Solve a complex equation symbolically?
negative_passages.docid: 109706
negative_passages.text: Fast way to come up with solutions to $x(x-1)(x-2)(x-3)=1$?