Understanding the Graph of Cotangent Function

Cotangent is the reciprocal of sine.

Cotangent is the same as tangent.

Cotangent is the reciprocal of cosine.

Cotangent is the reciprocal of tangent.

Where cosine equals zero.

Where tangent equals one.

Where sine equals zero.

Where tangent equals zero.

It has a vertical asymptote.

It is zero.

It is one.

It is undefined.

Where cosine equals zero.

Where sine equals zero.

Where tangent has a vertical asymptote.

Where tangent equals zero.

x = -3π/2, -π/2, π/2, 3π/2

x = -π, 0, π

x = -π/4, π/4

x = -2π, -π, 0, π, 2π

0

Undefined

1

-1

0

Undefined

1

-1

0

-1

Undefined

1

It increases from left to right.

It decreases from left to right.

It remains constant.

It oscillates.

Both increase from left to right.

Both decrease from left to right.

Tangent increases while cotangent decreases from left to right.

Tangent decreases while cotangent increases from left to right.