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AP EAMCET · Maths · Trigonometric Ratios & Identities

\(\cos \frac{\pi}{12}=\)

  1. A \(\frac{\sqrt{2}-\sqrt{3}}{2}\)
  2. B \(\frac{\sqrt{2}+\sqrt{3}}{2}\)
  3. C \(\frac{\sqrt{2}-\sqrt{6}}{4}\)
  4. D \(\frac{\sqrt{2}+\sqrt{6}}{4}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\frac{\sqrt{2}+\sqrt{6}}{4}\)

Step-by-step Solution

Detailed explanation

Let \(\theta=\frac{\pi}{12}\) \(\because \cos 2 \theta=2 \cos ^2 \theta-1\)…