SOLUTION: Find the value of Tan^-1(√3). Leave your answer in terms of pi whenever appropriate. Make sure to show work.

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Question 1138137: Find the value of Tan^-1(√3). Leave your answer in terms of pi whenever appropriate.
Make sure to show work.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Not the best method, but refering to unit circle, tan%28alpha%29=sin%28alpha%29%2Fcos%28alpha%29=sqrt%283%29 will work for angle pi%2F3.

Better Method:
Draw right triangle.
vertical leg sqrt%283%29, horizontal leg 1.
Find hypotenuse using r,
%28sqrt%283%29%29%5E2%2B1%5E2=r%5E2;
r=2;

Let alpha be opposite of the vertical leg of sqrt%283%29.
tan%28alpha%29=%28sqrt%283%29%2F2%29%2F%281%2F2%29 corresponding to alpha=pi%2F3.