query: How to solve $A\sin{\theta} + B\cos{\theta} = C$?
positive_passages.docid: 27628
positive_passages.text: Solving $a \sin\theta + b \cos\theta = c$
negative_passages.docid: 70765
negative_passages.text: If $\frac{\tan(a+b-c)}{\tan(a-b+c)}=\frac{\tan c}{\tan b}$, then $\sin(b-c)=0$ or $\sin 2a + \sin2b + \sin 2c=0$
negative_passages.docid: 57750
negative_passages.text: Solve identity: $\frac {\sin x}{1-\cos x} = \frac {1+\cos x}{\sin x}$
negative_passages.docid: 45343
negative_passages.text: Solve $\cos^{n}x-\sin^{n}x=1$ with $n\in \mathbb{N}$.
negative_passages.docid: 81102
negative_passages.text: Cosine of the sum of two solutions of trigonometric equation $a\cos \theta + b\sin \theta = c$
negative_passages.docid: 148207
negative_passages.text: Express $\cos 6\theta $ in terms of $\cos \theta$
negative_passages.docid: 10289
negative_passages.text: Need help in proving that $\frac{\sin\theta - \cos\theta + 1}{\sin\theta + \cos\theta - 1} = \frac 1{\sec\theta - \tan\theta}$
negative_passages.docid: 50323
negative_passages.text: Find the general solution for this equation sin5θcos3θ = sin6θcos2θ.
negative_passages.docid: 16866
negative_passages.text: How to Prove $a^3 \cos (B-C) + b^3 \cos (C-A)+ c^3 \cos (A-B)=3abc$?
negative_passages.docid: 63679
negative_passages.text: Picture/intuitive proof of $\cos(3 \theta) = 4 \cos^3(\theta)-3\cos(\theta)$?
negative_passages.docid: 147113
negative_passages.text: How to solve $2 \tan x / (1 - (\tan x)^2) = (\sin 2x)^2$?
negative_passages.docid: 115504
negative_passages.text: Find the value of a+b+c
negative_passages.docid: 123867
negative_passages.text: Solve $(a + b\sin(x))\sin(x) = p$ for $x$
negative_passages.docid: 147684
negative_passages.text: Prove that $\sin \theta=\frac{3 \sin \alpha+\sin^3 \alpha}{1+3\sin^2 \alpha}$ using given condition
negative_passages.docid: 61591
negative_passages.text: Solve simple trig equation
negative_passages.docid: 107067
negative_passages.text: Finding the argument of $z=1-\cos(2\theta)-i\sin(2\theta)$
negative_passages.docid: 101448
negative_passages.text: Is $\sin^2(z) + \cos^2(z)=1$ still true for $z \in \Bbb{C}$?