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TS EAMCET · Maths · Trigonometric Ratios & Identities

\(\operatorname{cosec} 15^{\circ}+\sec 15^{\circ}\) is equal to :

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

Answer & Solution

Correct Answer

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

Step-by-step Solution

Detailed explanation

\(\operatorname{cosec} 15^{\circ}+\sec 15^{\circ}\) \(=\frac{2\left(\sin 15^{\circ}+\cos 15^{\circ}\right)}{2 \sin 15^{\circ} \cos 15^{\circ}}\)…