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5.1 GRAPHING SINE AND COSINE FUNCTIONS

Periodic Functions• Sine and cosine functions are periodic functions. The

values of these functions repeat over a specified period.• The shape of a sine graph is a sinusoidal curve.

Graphing the Sine FunctionThe sine function, y = sin !, relates the measure of angle ! in standard position to the y-coordinate of the point P where the terminal arm of the angle intersects the unit circle.

The Cosine FunctionThe cosine function, y = cos !, relates the measure of angle ! in standard position to the x-coordinate of the point P where the terminal arm of the angle intersects the unit circle.

Graphing the Cosine FunctionThe cosine function, y = cos !, relates the measure of angle ! in standard position to the x-coordinate of the point P where the terminal arm of the angle intersects the unit circle.

a = 3

a = Max - min2

= 5- (-1)2

a = 3