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NTA Abhyas JEE Main2020MathematicsInverse Trigonometric FunctionsPractice

The complete solution set of the inequality cos - 1 ⁡ ( cos 4 ) > 3 x 2 - 4 x is

Options

  1. A0 , 2 + 6 π - 8 3
  2. B2 - 6 π - 8 3 , 0
  3. C( - 2, 2 )
  4. D2 - 6 π - 8 3 , 2 + 6 π - 8 3

Correct answer

D. 2 - 6 π - 8 3 , 2 + 6 π - 8 3

Step-by-step solution

As, cos - 1 ⁡ ( cos ⁡ 4 ) = cos - 1 ⁡ cos ⁡ 2 π - 4 = 2 π - 4 ⇒ 2 π - 4 > 3 x 2 - 4 x ⇒ 3 x 2 - 4 x - 2 π - 4 < 0 ⇒ 2 - 6 π - 8 3 < x < 2 + 6 π - 8 3

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