If a = sin –1 (sin (5)) and b = cos –1 (cos(5)), then a 2 + b 2 is equal to

Mathematics · JEE Main · NTA ExamsSets, Relations and Functions

If a = sin–1 (sin (5)) and b = cos–1 (cos(5)), then
a2 + b2 is equal to
  1. 25
  2. 8p2 – 40p + 50
  3. 4p2 – 20p + 50
  4. 4p2 + 25

Answer

(B) 8 p 2 – 40 p + 50

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