SOLUTION: How do I solve arctan(tan6) in pi radians.

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Question 1195953: How do I solve arctan(tan6) in pi radians.
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
How do I solve arctan(tan6) in pi radians.
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Arctan of the tangent = the argument, = 6.
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IDK what that is in "pi radians."
The problem is poorly stated.

Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.
How do I solve arctan(tan6) in highlight%28cross%28pi%29%29 radians.
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In the post, the problem is presented INCORRECTLY, since " tan6 " is 
non-sensical hieroglyph in Math.  In other words, its meaning is undefined.


To give a sense,  " arctan(tan6) "  should be re-written as  " arctan(tan(6)) ".


Then  " tan(6) "  means tangent function of the angle of 6 radians.



The hieroglyph  " arctan(tan(6)) "  then means 

" the angle in the interval  (-pi%2F2,pi%2F2),  whose tangent function is the same as tan(6) ".


This sough angle is then the angle of 6 radians, reduced to the interval  (-pi%2F2,pi%2F2).


In other words, the  ANSWER  is  6-2%2Api  radians, or, approximately, 6 - 2*3.14 = 6 - 6.28 = -0.28 radians.

Solved and carefully/thoroughly explained.