How do I find two consecutive integers between which the root of sin x = 1 - x lies?

Question

lncognlto · Answer

@Princer_Jones @iGreen

anonymous · Answer

$$\sqrt{\sin x}=1-x$$like this?

lncognlto · Answer

Not quite; it means where sin x = 1 - x crosses the x axis.

lncognlto · Answer

I realise I can just substitute numbers in and find the two between which the sign of the function changes, but it there another way to do it/

lncognlto · Answer

*?

phi · Answer

graph y= sin x
and 
y = -x + 1
and see where they are equal (intersect)

phi · Answer

when graphing sin x ,  x is in radians

anonymous · Answer

pi/6 is close to 1/2 and sin of pi/6 is 1/2  so I'd say between 0 and 1

lncognlto · Answer

Okay, I think I got it. I was wondering I needed to take the derivative or something, but it doesn't seem like it. I also get that the root is between 0 and 1. Thanks!