ExamBro
ExamBro
AP EAMCET · Maths · Trigonometric Ratios & Identities

The value of \(\cos \left(\frac{7 \pi}{12}\right)\) is

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

Answer & Solution

Correct Answer

(C) \(\frac{\sqrt{2}-\sqrt{6}}{4}\)

Step-by-step Solution

Detailed explanation

\(\cos \left(\frac{7 \pi}{12}\right)=\cos \left(\frac{\pi}{2}+\frac{\pi}{12}\right)=\sin \frac{\pi}{12}\)…