Anku posted an Question
November 12, 2020 • 23:37 pm 30 points
  • IIT JAM
  • Mathematics (MA)

In this why interval (0,Π/2) taken.. why not other interval taken..pls tell

in this why interval (0,Π/2) taken.. why not other interval taken..pls tell

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    Deepak singh 1 Best Answer

    see attached , it may clear your doubt

    cropped2318791683888837781.jpg
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    if any doubt then ask

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    sir isnt here f(N) subset of (3Π/2,Π)

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    pls tell

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    no ,

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    see graph ..range is (0,π/2)

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    sir since. range of tan^-1(x) is from -Π/2to Π/2 but in question it is (+)ve so we took interval (0,Π/2) had there been (-)ve then we would have taken (-Π/2 , 0 ) ..

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    am i right sir..?

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    yes..

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    see , we are putting n=1,2,3,4... in domain of tan^-1 and range of tan^-1 is (0,π/2)

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    natural no. is always +ve . So there will be no -ve

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    okk sir..thanks a lot sir ..

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