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NDA 2014
Exam
NDA
Year
2014
Subject
Mathematics
Chapter
Trigonometric Ratios & Identities

NDA 2014 · Mathematics · Trigonometric Ratios & Identities

What is the value of 36^ ^ ?

What is the value of cos⁡36∘\cos 36^{{}^{\circ}} ?

Options

  1. A5−14\frac{\sqrt{5}-1}{4}
  2. B5+14\frac{\sqrt{5}+1}{4}
  3. C10+254\frac{\sqrt{10+2 \sqrt{5}}}{4}
  4. D10−254\frac{\sqrt{10-2 \sqrt{5}}}{4}

Correct answer

B. 5+14\frac{\sqrt{5}+1}{4}

Step-by-step solution

cos⁡36∘=5+14\cos 36^{{}^{\circ}}=\frac{\sqrt{5}+1}{4}
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