AP EAMCET · Maths · Trigonometric Ratios & Identities
The sum of the solutions in \((0,2 \pi)\) the equation \(\cos x \cos \left(\frac{\pi}{3}-x\right) \cos \left(\frac{\pi}{3}+x\right)=\frac{1}{4}\) is
- A \(4 \pi\)
- B \(\pi\)
- C \(2 \pi\)
- D \(3 \pi\)
Answer & Solution
Correct Answer
(C) \(2 \pi\)
Step-by-step Solution
Detailed explanation
We know, \[ \cos x \cos \left(\frac{\pi}{3}-x\right) \cos \left(\frac{\pi}{3}+x\right)=\frac{1}{4} \cos 3 \theta \] But it is given…
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