How do you evaluate tan−1(√33) without a calculator?
1 Answer
Sep 29, 2016
Explanation:
Consider a triangle with sides in ratio
This is a right angled triangle since:
12+√32=1+3=4=22
In fact, it is one half of an equilateral triangle, hence has angles
Now
Hence we find:
tan(π6)=1√3=√33
Since