# Trigonometric Functions-I, Graph of Cos θ as θ Varies from 0 to 2π

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## Graph of Tan Θ as Θ Varies from 0 to 2π

I Quadrant:

increases from to .

decreases from to .

is positive and increases from to .

II Quadrant:

decreases from to .

decreases from to .

is negative and increases from to .

III Quadrant:

decreases from 0 to .

increases from to .

is positive and increases from to .

IV Quadrant:

increases from to .

increases from to .

is negative and increases from to .

Graph of :

## Graph of Cot Θ as Θ Varies from 0 to 2π

The behaviour of depends upon the behaviour of and as

We discuss it in each quadrant.

I Quadrant:

decreases from to .

increases from to .

also decreases from to but .

II Quadrant:

decreases from to .

decreases from 1 to .

or decreases from to .

III Quadrant:

increases from to .

decreases from to .

decreases from to .

IV Quadrant:

increases from to .

decreases from to .

decreases from to .

Graph of :