www.iTutoring.com -‐ NOTES
Graphing Tangent Functions
x
-π
tan x
0
-
3π 2π 5π 4 3 6
-
3 3
und
1
3
π 2
-
π 3
-
3
π 4 -1
y = tan x -π ≤ x ≤ π
-π
-
5π 3π 2π 4 3 6
-
π 2
-
π π π 3 4 6
-
Name _________________________________ Date ___________________ Period _______
π 6
0
π 6
π 4
3 3
0
3 3
1
π 3
π 2
3
2π 3 3
und
3π 4
5π 6
π
-1
3 3
0
1
0
-1
π 6
π 4
π 3
π 2
2π 3
3π 4
5π 6
π
when sin x = 0, tan x = 0
-2π
-
3π 2
-π
y = tan x =
-
π 2
0
sin x cos x
when cos x = 0, tan x is undefined
π 2
π
3π 2
2π
y = tan x =
Range: -∞ < y < ∞
-2π
-
3π 2
-π
-
π 2
sin x cos x
Domain: -∞ < x < ∞ π x ≠ odd multiples of 2
π 2
0
π
3π 2
2π
y = tan x =
Range: -∞ < y < ∞
sin x cos x
Domain: -∞ < x < ∞ π x ≠ odd multiples of 2
Period of tan x is π
-2π
-
3π 2
-π
-
π 2
0
π 2
π
3π 2
2π
© iTutoring.com Graphing Tangent Functions Pg. 2
y = - tan x a = -1 Period of tan x is π
0
y = tan
1 2
x
0
© iTutoring.com Graphing Tangent Functions Pg. 3
y = tan 2x
0
y = tan (x –
π ) 4
0
© iTutoring.com Graphing Tangent Functions Pg. 4