# Trigonometric Functions-I, to Find the Variations and Draw the Graph of Sec θ as θ Varies from 0 to 2π

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## To Find the Variations and Draw the Graph of Sec Θ as Θ Varies from 0 to 2π X'OX and Y'OY be the Axes of CoordinatesX'OX and Y'OY be the axes of coordinates
• Let and be the axes of coordinates. With centre , draw a circle of unit radius.

• Let be any point on the circle. Join and draw .

• Variations will depend upon .

• is positive as is positive.

• and when we approach from the right.

• As varies from to , increases from to .

• is negative as is negative.

• when we approach from the left. Also .

• As varies from to , increases from to .

• It is observed that as passes through , changes from to .

• is negative as is negative.

• and when the angle approaches in the counter clockwise direction.

• As varies from to , increases from to .