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sinx-x<0.1 how do I find x?

 Jun 24, 2016
 #1
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\(sin(x)<0.1\)

 

\({sin}^{-1}(sin(x))<{sin}^{-1}(0.1)\)

 

\(x<0.01001667421162...\)

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 Jun 24, 2016
 #2
avatar+118608 
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sinx-x<0.1 how do I find x?

 

\(sin(x)-x<0.1\\ sin(x)<0.1+x\\ \)

I would graph

y=sin(x)

and 

y=0.1+x

 

The statement will be true when the sin(x) curve is under the line.

 

https://www.desmos.com/calculator/rj5amyp3lh

 

You can see that this is true when  x > -0.854      (approximately)

 

 Jun 24, 2016

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