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 tanθ

Graph of Tanθ

Graph of tanθ

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 :

Graph of cotθ

Graph of Cotθ

Graph of cotθ

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