1
(−
The graphs of cos(x) and arccos(x)
π
(−1, π)
√
3 5π
2 , 6 )
arccos(x)
Domain: [−1, 1]
Range: [0, π]
(− 21 , 4π
6 )
π/2
( 12 , 2π
6 )
1
1
(− 2π
6 , 2)
−π
−π/2
( π6 ,
-1
0
-1
√
1
( 2π
6 , 2)
3
2 )
√
( 23 , π6 )
1
π/2
1
( 4π
6 , −2)
( 5π
6 ,−
cos(x)
Domain: [0, π]
Range: [−1, 1]
cos x
arccos x
cos x restricted
f (x) = x
The
(− 2π
, 12one-to-one.
) can be removed.
Now relation
the function
6 is
2π
6
- 2π
6
x3
1
2
y2
1
( 2π
(−32π
,6y,2 )21 ), (x3 , y2 )
6 , 2 ), (x
Switch: Make the funciton one-to-one for cos x
Switch: See more result on arccos x
1
cos 2π
6 =
2
1
cos−1− 2π
=
62 =
√
3
2 )
(π, −1)
−π/2
Switch:
Switch:
Switch:
Switch:
π
12π
26