Graphing Trigonometric Functions
- a=1
- b=1
- c=0
- d=0
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Characteristics of the sine function
Trigonometric functions are periodic functions. Notice that the distance from a peak to the next peak, what we call the period, is This is also the distance between trough and the next trough.
The midline is dashed line drawn in teal. The function oscillates evenly about this line.
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Recall that even functions are symmetric about the y-axis and odd function are symmetric about the origin.
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Characteristics of the cosine function
Notice the similarities and differences between the cosine and sine functions.
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Recall that even functions are symmetric about the y-axis and odd function are symmetric about the origin.
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Characteristics of the tangent function
Tangent is a composite of the sine and cosine functions:
Notice the periodic asymptotic behaviour which corresponds to when values of
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Characteristics of the cosecant function
Cosecant is the reciprocal of the sine function:
Notice the periodic asymptotic behaviour which corresponds to when values of
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Characteristics of the secant function
Secant is the reciprocal of the cosine function: .
Notice the periodic asymptotic behaviour which corresponds to when values of
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Characteristics of the cotangent function
Cotangent is the reciprocal of the tangent function, and hence it is also a composite of the sine and cosine functions:
Notice the periodic asymptotic behaviour which corresponds to when values of
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