Graphs of the Tangent, Cotangent, Cosecant and Secant Functions
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Secant, Cosecant, and Cotangent
Secant
The secant of an angle is the reciprocal of its cosine.
The range of is , so the range of is , which is all possible outputs of 1/x for . Since is not defined, is not defined whenever ; that is, when for any integer k. We can see that there is a vertical asymptote at each of these values in the graph of .
Cosecant
The cosecant of an angle is the reciprocal of its sine.
is not defined whenever ; that is, when for any integer k. We can see that there is a vertical asymptote at each of these values in the graph of .
Cotangent
The cotangent of an angle is the reciprocal of its tangent.
Resources
- Graphs of the Tangent, Cotangent, Cosecant and Secant Functions. Written notes created by Professor Esparza, UTSA.
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