AP EAMCET · Maths · Trigonometric Equations
The general solution of \(4 \cos 2 x-4 \sqrt{3} \sin 2 x+\cos 3 x-\) \(\sqrt{\sin 3 x+\cos x-\sqrt{3} \sin x}=0\)
- A \(\frac{n \pi}{2}-\frac{\pi}{3}\)
- B \(\frac{n \pi}{2}+\frac{\pi}{6}\)
- C \(\frac{n \pi}{2}+\frac{\pi}{12}\)
- D \(\frac{n \pi}{2}-\frac{\pi}{12}\)
Answer & Solution
Correct Answer
(C) \(\frac{n \pi}{2}+\frac{\pi}{12}\)
Step-by-step Solution
Detailed explanation
Given, \(4 \cos 2 x-4 \sqrt{3} \sin 2 x+\cos 3 x-\sqrt{3} \sin 3 x +\cos x-\sqrt{3} \sin x=0\) \(\Rightarrow 4 \cos 2 x-4 \sqrt{3} \sin 2 x+(\cos 3 x+\cos x)-\sqrt{3}(\sin 3 x+\sin x)=0\)…
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