Question

How do you solve and find the value of `sin(arctan(sqrt3/3))`?

Answer 1

`color(red)(theta = n pi + pi/6 color(white)(aaa)` `color(green)(n in ZZ`

Explanation:

Let `theta = arctan(sqrt3/3)`

`tan theta = tan (tan^-1 (sqrt3/3))`

`tan theta = sqrt3 / 3 = 1/ sqrt 3`

`theta = pi / 6 = 30^@`

Genaralozing,

`theta = n pi + pi/6 color(white)(aaa)` `n in ZZ`