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TS EAMCET · Maths · Trigonometric Equations

For \(n \in Z\), the general solution of the trigonometric equation \(\sin x-\sqrt{3} \cos x\) \(+4 \sin 2 x-4 \sqrt{3} \cos 2 x+\sin 3 x-\sqrt{3} \cos 3 x=0\) is Is

  1. A \(\frac{n \pi}{2}+\frac{\pi}{8}\)
  2. B \(\frac{m}{2}+\frac{\pi}{6}\)
  3. C \(\frac{n \pi}{2} \pm \frac{\pi}{6}\)
  4. D \(2 n \pi \pm \frac{\pi}{6}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{m}{2}+\frac{\pi}{6}\)

Step-by-step Solution

Detailed explanation

We have,…