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$\cos^{- 1} {\frac{1}{\sqrt{2}} (\cos \frac{9 π}{10} - \sin \frac{9 π}{10})} =$

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detailed solution

Correct option is D

cos−1cos9π10+π4=cos−1cos23π20 =cos−1cos2π−17π20=cos−1cos17π20=17π20

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cos−1{12(cos9π10−sin9π10)}=

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$\cos^{- 1} {\frac{1}{\sqrt{2}} (\cos \frac{9 π}{10} - \sin \frac{9 π}{10})} =$