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TS EAMCET · Maths · Trigonometric Ratios & Identities

\(\cos 36^{\circ}-\cos 72^{\circ}\) is equal to

  1. A \(1\)
  2. B \(\frac{1}{2}\)
  3. C \(\frac{1}{4}\)
  4. D \(\frac{1}{8}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{1}{2}\)

Step-by-step Solution

Detailed explanation

\(\cos 36^{\circ}-\cos 72^{\circ}=-2 \sin \left(\frac{36^{\circ}+72^{\circ}}{2}\right)\) \(\sin \left(\frac{72^{\circ}-36^{\circ}}{2}\right)\)…