NTA Abhyas JEE Main2020MathematicsTrigonometric Ratios & IdentitiesPractice
If 0 < α < π 3 , then α sec ⁡ α is
Options
- Aless than π 3
- Bgreater than π 3
- Cless than 2 π 3
- 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 .