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Rakesh Kumar posted an Question
September 19, 2020 • 05:38 am 30 points
  • IIT JAM
  • Mathematics (MA)

X 8.5 must have a solution is the interval [0, 1]. ex. show that the equation (1 x)cosx = sinx has at least one solution in (0, 1). set f(x) = (1-x)co

I can't understand please explain

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  • Anuj s.

    solve be converting x= 1-tanx f(x) = 1-tanx-x f(0) = 1 f(1) = -1.55

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    I can't understand please again explain

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    equation is (1-x)cosx =sinx , convert the equation into x=1-tanx

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    (1-x)cosx = sinx => (1-x)=tanx => x=1-tanx

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    let 1-tanx-x = f(x), substitute value of x in rad

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    by solving you get x=~ .4797

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