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Find range of f(x)=cot^-1x+sec^-1x+cosec-1x................answer is coming (π/2,3π/4] U [5π/4,3π/2).

Find range of f(x)=cot^-1x+sec^-1x+cosec-1x................answer is coming (π/2,3π/4] U [5π/4,3π/2).

Grade:12th pass

1 Answers

Deepak Kumar Shringi
askIITians Faculty 4404 Points
5 years ago
look sec^-1x+cosec^-1x= pie/2 for all x (-infinity,-1] U [1,infinity)
now for this domain
cot^-1x will be (0,pie/4] U [3pie/4,pie)
now add value of sec^-1+cosec^-1x you wil get the answer

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