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MHT CET2017MathematicsInverse Trigonometric Functions

The value of cos - 1 ⁡ cot ⁡ π 2 + cos - 1 ⁡ sin ⁡ 2 π 3 is

Options

  1. A2 π 3
  2. Bπ 3
  3. Cπ 2
  4. Dπ

Correct answer

A. 2 π 3

Step-by-step solution

cos - 1 ⁡ cot ⁡ π 2 + cos - 1 ⁡ sin ⁡ 2 π 3 = cos - 1 ⁡ 0 + cos - 1 ⁡ 3 2 = π 2 + π 6 = 4 π 6 = 2 π 3

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