SOLUTION: I would like some help regarding the following: Find all values of x in [0,360) in degrees, given that: {{{ cot(x/3)= sqrt( 3 ) }}} I know that cot is the same as {{{ arctan (1/x

Question 833905: I would like some help regarding the following:
Find all values of x in [0,360) in degrees, given that:
I know that cot is the same as , and have figured out that is equal to 30 degrees, but I need help in figuring out how to determine the rest of the values, as well as the answers.
Thanks in advance.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
You probably meant that <--> ,
so applying that to your problem,
--> .
It is true that and that .
It is also true that ,
and that, generalizing, for any integer .
means so is a solution,
and it is the only one with in [0,360) in degrees.
The other possible angle values do not lead to solutions with in [0,360):
--> --> , and
--> --> -->
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