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The value of x for which $\cos^{- 1} (\cos 4) > 3 x^{2} - 4 x is$

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0,2+6π−83

2−6π−83,0

(-2, 2)

2−6π−83,2+6π−83

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detailed solution

Correct option is D

Now, cos−1⁡(cos⁡4)=cos−1⁡{cos⁡(2π−4)}=2π−4 ⇒2π−4>3x2−4x⇒3x2−4x−(2π−4)<0⇒2−6π−83

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The value of x for which cos−1⁡(cos⁡4)>3x2−4x is

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The value of x for which $\cos^{- 1} (\cos 4) > 3 x^{2} - 4 x is$