AP EAMCET · Maths · Trigonometric Equations
\(\frac{\sqrt{3} \sin (\theta)+\cos (\theta)}{\sin \left(\theta+\frac{\pi}{6}\right)}=\)
- A -2
- B 1
- C 2
- D -1
Answer & Solution
Correct Answer
(C) 2
Step-by-step Solution
Detailed explanation
\begin{aligned} \frac{\sqrt{3} \sin \theta+\cos \theta}{\sin \left(\theta+\frac{\pi}{6}\right)} & =\frac{\sqrt{3} \sin \theta+\cos \theta}{\sin \theta \cos \frac{\pi}{6}+\cos \theta \sin \frac{\pi}{6}} \\ & =\frac{\sqrt{3} \sin \theta+\cos \theta}{\frac{\sqrt{3}}{2} \sin…
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