## giggles123 Group Title prove that arctan(x)=1-x has at least one root 2 years ago 2 years ago

1. satellite73

it is continuous for sure, so show that it is negative somewhere and positive somewhere else. try say $-\frac{\pi}{4}$ and $\frac{\pi}{3}$ so make your life easy

2. Rogue

That's utilizing the intermediate value theorem right?

3. giggles123

Yes