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Math Help - Function stuff :(

  1. #1
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    Function stuff :(

    prove that, x-cosx =0 has a root within (0,pi/2)

    OR if possible, find the condition so that, h(x) = f(x) + g(x) + k has a root...
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  2. #2
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    We know that x-cos(x) is continous. Since for x=0 =>0-cos(0) = -1 < 0 and for x=pi/2 => pi/2-cos(pi/2) = pi/2 > 0 it follows from the intermediate value theorem (Intermediate value theorem - Wikipedia, the free encyclopedia) that x-cos(x) has a root.
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