Tangent Asymptote

Determine an equation for this graph:

• y=csc(x)

• y=sec(x)

• y=cot(x)

• y= tan(x)

What is the equation of the graph shown?

• y = tan θ

• y = sin θ

• y = cos θ

• y = -5tan θ

Which function below matches this graph?

• tan(x-π/4)

• tan(x+π/4)

• cot(x)

• π/4cot(x)

Sketch a graph of the parent tangent function, y = tan a. Describe the domain, range, symmetry, period, and any asymptotes of the graph. Use Demos to sketch the graph.

b

c

d

e

a

Point symmetry (odd)

All angle measures

All angle measures except 90, 270, etc

Sketch a graph of the parent tangent function, y = tan a. Describe the domain, range, symmetry, period, and any asymptotes of the graph.

b

c

d

e

a

Point symmetry (odd)

All angle measures

All angle measures except 90, 270, etc

Sketch a graph of the parent tangent function, y = tan a. Describe the domain, range, symmetry, period, and any asymptotes of the graph.

b

c

d

e

a

All angle measures

Point symmetry (odd)

All angle measures except 90, 270, etc

What is the equation for the graph shown.

• y = 4sinθ - 2

• y = 3tcosθ - 1

• y = 2tanθ - 4

• y = 2-4tanθ + 2

What is the equation of the graph shown?

• y = tanθ/2

• y = tan2θ

• y = tanθ/4

• y = tan4θ

What is the value of a if the function above is f(x) = a tan x

• 1/2

• 1

• 2

• 4

Determine the equation

• tan x

• cot x

• tan 2x

• cot 2x