Question

How do you evaluate `arctan sqrt3`?

Answer 1

Trig mostly asks about 30/60/90 and 45/45/90 and their brethren in other quadrants; learn those and you're halfway home. `\sqrt{3}` is the former, and a slope of `sqrt{3}>1` means

`text{Arc}text{tan}( sqrt{3} ) = 60^circ`

`arctan sqrt{3} = 60^circ + 180^circ k quad` integer `k`