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The value of cot π 24 is:

Options

  1. A2 + 3 + 2 - 6
  2. B2 + 3 + 2 + 6
  3. C2 - 3 - 2 + 6
  4. D3 2 - 3 - 6

Correct answer

B. 2 + 3 + 2 + 6

Step-by-step solution

We know that cot θ = 1 + cos 2 θ sin 2 θ Since, θ = π 24 Therefore, cot θ = 1 + 3 + 1 2 2 3 - 1 2 2 ⇒ cot π 24 = 1 + 3 + 1 2 2 3 - 1 2 2 = 2 2 + 3 + 1 3 - 1 × 3 + 1 3 + 1 = 2 6 + 2 2 + 3 + 3 + 3 + 1 2 = 6 + 2 + 3 + 2 .

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