How do you find the exact value of arctan(sqrt3/3)?

1 Answer
Alan P.
Jun 28, 2015

arctan(sqrt(3)/3) = 30^o = pi/6 radians

Explanation:

sqrt(3)/3 = 1/sqrt(3)

If arctan(1/sqrt(3)) = theta
color(white)("XXXX")then tan(theta) = 1/sqrt(3)

tan(theta) = 1/sqrt(3) is indicative of a standard triangle with
color(white)("XXXX")theta = 30^o
enter image source here

Related questions
See all questions in Basic Inverse Trigonometric Functions
Impact of this question
3573 views around the world
You can reuse this answer
Creative Commons License