Question

Use the Intermediate Value Theorem to show that the equation x=cos x has at least one solution in the interval [0, pi/2].

Answer 1

hint: turn x = cos(x) into cos(x) - x = 0

Answer 2

oh, lemme do that really quick.

Answer 3

let f(x) = cos(x) - x

Answer 4

then evaluate f(0) and f(pi/2)

Answer 5

Thank you, i understand now.

Answer 6

yw