Question

How do you evaluate `arctan((1/sqrt3)`?

Answer 1

`arctan(1/sqrt(3)) = pi/6 or 30^o`

Explanation:

This ratio is one of the standard trigonometric triangles:

`arctan` must provide an angle in quadrants one or four; in quadrant four, the argument would have needed to be negative.

The ratio `((1/2))/((sqrt(3)/2)) = 1/sqrt(3)`
`color(white)("XXXX")`is that of a `pi/6` angle (as indicated above).