Checkout JEE MAINS 2022 Question Paper Analysis : Checkout JEE MAINS 2022 Question Paper Analysis :

sec2 (tan-1 2) + cosec2 (cot-1 3) =

1) 5

2) 13

3) 15

4) 6

Solution: (3) 15

sec2 (tan-1 2) + cosec2 (cot-1 3)

= [sec (tan-1 2)]2 + [cosec (cosec-1 √10)]2

= (√5)2 + (√10)2

= 5 + 10

= 15

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