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If $\frac{1}{2} \leq x \leq 1$ then $\cos^{- 1} (\frac{x}{2} + \frac{1}{2} \sqrt{3 - 3 x^{2}}) + \cos^{- 1} x =$

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Correct option is A

cos−1x+cos−1x2+123−3x2=cos−1x+cos−1x.12+321−x2= cos−1x+cos−112−cos−1x=cos−112=π3

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If 12≤x≤1then cos−1x2+123−3x2+cos−1x=

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If $\frac{1}{2} \leq x \leq 1$ then $\cos^{- 1} (\frac{x}{2} + \frac{1}{2} \sqrt{3 - 3 x^{2}}) + \cos^{- 1} x =$