PreCalculus
posted by Sara
For what values of x is it true that sin(x)x < 0.01?

bobpursley
I have spend 20 min on this,with no results. I went the Taylor expansion of sin(x), and it didn't help. When you get a solution, please post it. FYI, I graphed it, and was surprised. It reminded me how accurate the small angle approximation is.

Reiny
I looked at the solution to
sinx x = .01 and using Newton's Method found
x = ±.392493378
then testing, I found the above to be true for
.3925 < x < + .3924
x is in radians
(for sinx  x = .01 my iteration expression was
(xcosx  sinx + .01)/(cosx  1) )
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