is there a method for proving the following without calculus or arguing by a diagram?

Question

anonymous · Answer

$$\forall x \ge 0 \text{  }\sin(x) \le x $$

anonymous · Answer

@Callisto

hba · Answer

Actually calculus is a very powerful tool to solve problems.So Most of the problems can be solved my Calculus,Therfore,they maybe other ways to solve questions without the use of calculus.

amistre64 · Answer

yelling, shouting, and just being overall obnoxius tend to be used by kids today to prove their point :)

hba · Answer

lol ^

callisto · Answer

I don't know if this works lol
-1<sinx <1
-x < xsinx < x
xsinx < x <- see this?!

anonymous · Answer

that works for 1=<x but i dont think it helps particularly for the harder case 
0=<x=<1

anonymous · Answer

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