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Inverse Trigonometric Functions question

2022 · Shift 1 · Q19

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PYQ Library
JEE Advanced
Mathematics
Inverse Trigonometric Functions
2022 · Shift 1 · Q19

Inverse Trigonometric Functions question

2022 · Shift 1 · Q19

JEE AdvancedMathematicsInverse Trigonometric FunctionsNumerical+3 / −1

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

Numerical answer

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