Question

The value of tan^-1[tan 5pie/6

Answer 1

tan^-1[tan 5pi/6] ?

Answer 2

yes

Answer 3

this might come in handy \[\huge \tan^{-1} [\tan x] = x\]

Answer 4

that'snot always the case but usually it is

Answer 5

the answer should be -pie/6

Answer 6

@satellite73

Answer 7

\[\tan^{-1}[\tan x] = x + k\pi \]
for as long as k is an integer?

Answer 8

that's simplified form i believe

Answer 9

@yahoo!
what are your options

Answer 10

tan^-1 (tan x) = x where x lies in the range of (-pi/2 , pi/2)
=>5pi/6 is out of that range
we need to re arrange
note that tan(5p/6) = tan(pi - pi/6) = -tan(pi/6)
now -tan(pi/6) lies in that range
so you see why thats the ans..