Question

Could you help me solve sin(x)>(2x)/pi

Answer 1

..... what doesn't make sense... what do you want? right now it's just a graph at best

Answer 2

do you want all x ranges where that is true?

Answer 3

x is from the interval (0,pi/2), I need to prove that it holds

Answer 4

well ... do you want an informal proof or a stronger one... just graph it, that's a proof :P / more algebraically is check the endpoints and pi*sin(x) > 2x for that region.

Answer 5

there are two sets of solutions
0<x<pi/2 and x<-pi/2
the only integer solution is 1

Answer 6

as to the proof i would also graph it. but you can do it using the trigonometric formulae

Answer 7

I can't think of any trigonometric transformation, that's my actual problem, could you help?

Answer 8

that is any trigonometric transformation which is actually useful

Answer 9

nope sorry. i don't think there is one.

Answer 10

ok, thanks anyway