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If 0 < α < π 3 , then α sec ⁡ α is

Options

  1. Aless than π 3
  2. Bgreater than π 3
  3. Cless than 2 π 3
  4. Dgreater than 2 π 3

Correct answer

C. less than 2 π 3

Step-by-step solution

On the graph of y = cos ⁡ x Let A α , cos ⁡ α and B π 3 , cos ⁡ π 3 Clearly, slope of O A > slope of O B ⇒ cos ⁡ α α > cos ⁡ π 3 π 3 ⇒ α sec ⁡ α < 2 π 3 .

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