If a=\sin ^{-1}(\sin(5) ) and b=\cos ^{-1}(\cos (5)), then a^2+b^2 is equal to [31-Jan-2024 Shift 2]

Question

If a=\sin ^{-1}(\sin(5) ) and b=\cos ^{-1}(\cos (5)), then a^2+b^2 is equal to  [31-Jan-2024 Shift 2]

Examsnet · Accepted Answer

Correct Answer is :  8π2−40π+50

JEE Main 31-Jan-2024 Shift 2 Solved Paper