Graphs of trigonometric functions can be produced in degrees or in radians.
The graphs appearing here will be done in radians.

When handdrawing the graphs of sine and cosine, draw vertical dotted lines at intervals to remind you of the connection to the four quadrants from the unit circle and to keep your graphs accurate. (Such dotted lines will resemble the dashed vertical grid lines in the graphs below.)

The sine and cosine functions take on yvalues between 1 and +1.
Sine Function: y = sin x 

y = sin x

• called a " wave" because of its rolling wavelike appearance (also referred to as oscillating)
• amplitude: 1 (height)
• period: 2 π (length of one cycle)
• frequency: 1cycle in 2 π radians [or 1/(2 π)]
• domain:
• range: 
At x = 0, the sine wave is on the shoreline! (meaning the yvalue is equal to zero)
Cosine Function: y = cos x 

y = cos x

• called a " wave" because of its rolling wavelike
appearance
• amplitude: 1
• period: 2 π
• frequency: 1 cycle in 2 π radians [or 1/(2 π )]
• domain:
• range: 
At x = 0, the cosine wave breaks off the cliff! (meaning the yvalue is equal to one)
Remember: The cosine curve is really the exact same graph as the sine curve shifted 90º, or π/2 radians, to the left!

How to use your graphing calculator for graphing trig functions.
click here. 

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