Show that $\cos x=x$ has a solution in the interval $[0,1] .$ Hint: Show that $f(x)=x-\cos x$ has a zero in $[0,1]$ .
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We know that $f(0)=0-1=-1$ and $f(1)=1-\cos 1>0$ (since $\cos 1<1$). Show more…
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Show that $\cos x=x$ has a solution in the interval $[0,1] .$ Hint: Show that $f(x)=x-\cos x$ has a zero in $[0,1] .$
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