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Inverse Trigonometric Functions question

2024 · 31 Jan · Shift 2 · Q35
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Inverse Trigonometric Functions question

2024 · 31 Jan · Shift 2 · Q35

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1
If a=sin⁡−1(sin⁡(5))a=\sin ^{-1}(\sin (5))a=sin−1(sin(5)) and b=cos⁡−1(cos⁡(5))b=\cos ^{-1}(\cos (5))b=cos−1(cos(5)), then a2+b2a^2+b^2a2+b2 is equal to
  1. A
    25
  2. B
    4π2+254 \pi^2+254π2+25
  3. C
    8π2−40π+508 \pi^2-40 \pi+508π2−40π+50
  4. D
    4π2−20π+504 \pi^2-20 \pi+504π2−20π+50
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