Question

Find a root of an equation x−cosx=0

x−cosx=0 using the interval (0.5, 1) and correct up to 4 decimal places.

Answer 1

Find a root of an equation x−cosx=0 using the interval (0.5, 1) by iterative method. Arbitrary, begin iterations with 0.7 and higher:

$f(0.7)\space\space\space\space=-0.06484,\\ f(0.8)\space\space\space\space=\space\space\space1033,\\f(0.75)\space\space=\space\space\space0.01831,\\f(0.74)\space\space=\space\space\space1.531·10^{-3},\\ f(0.739)=-1.425·10^{-4}.$