Considering only the principal values of... | Inverse Trigonometry | JEE Advance 2022

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JEE Advance 2022

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Considering only the principal values of the inverse trigonometric functions, the value of $$ \frac{3}{2} \cos ^{-1} \sqrt{\frac{2}{2+\pi^2}}+\frac{1}{4} \sin ^{-1} \frac{2 \sqrt{2} \pi}{2+\pi^2}+\tan ^{-1} \frac{\sqrt{2}}{\pi} $$ is $\_\_\_\_$ .

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