query: If $3 \sin \theta + 4 \cos \theta = 5$, find the value of $\sin \theta$.
positive_passages.docid: 152169
positive_passages.text: How would we solve this trigonometric equation using vectors?
negative_passages.docid: 86894
negative_passages.text: Finding solution of a Trigonometric equation
negative_passages.docid: 8919
negative_passages.text: If $\alpha = \frac{2\pi}{7}$ then the find the value of $\tan\alpha .\tan2\alpha +\tan2\alpha \tan4\alpha +\tan4\alpha \tan\alpha.$
negative_passages.docid: 105238
negative_passages.text: Proving $\tan(\theta_1+\theta_2+\cdots+\theta_n)$ has the form $\frac{S_1-S_3+S_5+\cdots}{1-S_2+S_4+\cdots}$
negative_passages.docid: 101476
negative_passages.text: If $A$, $B$ and $C$ are the angles of a triangle then find the value of $\Delta$
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: 156162
negative_passages.text: Are $\cos^2 \theta$ and $\cos \theta^2$ the same?
negative_passages.docid: 29604
negative_passages.text: How to solve $\sin x +\cos x = 1$?
negative_passages.docid: 95633
negative_passages.text: Help with this trigonometry problem
negative_passages.docid: 60230
negative_passages.text: Prove that $\frac{1+\sin\theta+i\cos\theta}{1+\sin\theta-i\cos\theta}=\sin\theta+i\cos\theta$
negative_passages.docid: 125171
negative_passages.text: Help with this trigonometry problem?
negative_passages.docid: 87489
negative_passages.text: Find range of $f(x)=3|\sin x|-4|\cos x|$
negative_passages.docid: 142401
negative_passages.text: Where's the problem in this equation? Resulting in $4 = 5$
negative_passages.docid: 95979
negative_passages.text: Trigonometry and algebra question
negative_passages.docid: 24670
negative_passages.text: Find $x$: $5\cos(x) = 2\sec(x)-3$
negative_passages.docid: 131688
negative_passages.text: Solve $\sin 7x+\sin 3x=0$
negative_passages.docid: 128205
negative_passages.text: If $A,B,C$ are the angle of a triangle, then show that $\sin A+\sin B-\cos C\le \dfrac3 2$