Question

find the smallest value of cos(x) = x using the newton's method of approximation...

Answer 1

@lgbasallote @sauravshakya @zzr0ck3r

Answer 2

@experimentX

Answer 3

try watching it
http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-13-newtons-method/
if you find problem with it ... let me know

Answer 4

i'll try to understand it thanks thanks a lot! :D

Answer 5

You need an initial guess.

If you sketch graphs for y = cos x and y = x this should convince you that the answer is somewhere between 0 and 1.

So you could start off with 0.5 and see where that goes....

Answer 6

and also take function f(x) = cos(x) - x

Answer 7

how to sketch graphs for y = cos x and y = x to know that the answer is somewhere between 0 and 1??

Answer 8

@estudier

Answer 9

Um.. these are well known situations you should try and learn, they come up often.

Cos just oscillates between 1 and -1 with a period of 2*pi

And y=x is just a line through the origin at an angle of 45 degrees.

Answer 10

how come the answer is 0.739085? @estudier

Answer 11

I don't understand, what do you mean "How come"?