Graphing Trigonometry Functions

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Presentation transcript:

Graphing Trigonometry Functions Basic Graphs y = sin x 1 -1 -π/2 π/2 π 3π/2 2π Period is and amplitude is 1.

Graphing Trigonometry Functions Basic Graphs -π/2 π/2 π 3π/2 2π y = cos x 1 -1 Period is and amplitude is 1.

Special Angles and Graphs Using the graph for

Graphing Trig Functions Amplitude Change y= a sin x stretches or compresses the graph vertically y = a sin x a -a -π/2 π/2 π 3π/2 2π Period is and amplitude is a.

Graphing Trig Functions Phase Shift y = sin(x - b) slides graph right by b units b -1 1 2π+b y = sin(x - b) Period is and amplitude is 1.

Graphing Trig Functions Phase Shift y = sin(x + b) slides graph left by b units 1 -b 2π - b y = sin(x + b) -1 Period is and amplitude is 1.

Graphing Trig Functions Period Change y = sin cx stretches or compresses the graph horizontally -1 1 2π/c Period is and amplitude is 1.