Inequality with trigonometry question

Use the inequalities sinθ < θ < tanθ for a suitable value of θ to show that π lies between 3 and 2√3

PS: please show how to actually get a suitable value of θ

why cannot use graphic calculator?

let sinθ = θ. find the answer

let θ = tanθ. find the answer.

answer 1 < θ < answer 2

that's the idea beh.

drawing 2 graphs, one of y= x and one of y = sinθ, and their intercept will get you the answer.

TS, by inspection, I used the value of θ to be π/6

You should be able to do from there.