Question

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

Answer 1

@Princer_Jones @iGreen

Answer 2

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

Answer 3

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

Answer 4

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/

Answer 5

*?

Answer 6

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

Answer 7

when graphing sin x , x is in radians

Answer 8

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

Answer 9

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!