Question

arctan(tan(7pi/6)) ?

Answer 1

=pi/6 just calc that

Answer 2

-pi/6, right?

Answer 3

i dont understand why though?

Answer 4

or that it doesn't matter

Answer 5

oh i see. because tangent boundary is between pi/2 and 3pi/2..also can it be 11pi/6, or does that not work?

Answer 6

arctan[tan(x)] = x only when -π/2 < x < π/2

Answer 7

right?

Answer 8

so we must find out tan(7pi/6)

Answer 9

yes, but 11pi/6 falls in between -pi/2<x<pi/2

Answer 10

oh waitttt i see. nm