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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