Transcription of Graphs of Basic (Parent) Trigonometric Functions
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Graphs of Basic (Parent) Trigonometric Functions
Chapter 2 Graphs of Trig Functions The sine and cosecant Functions are reciprocals. So: sin 1csc and csc 1sin The cosine and secant Functions are reciprocals. So: cos 1sec and sec 1cos The tangent and cotangent Functions are reciprocals. So: tan 1cot and cot 1tan Graphs of Basic (Parent) Trigonometric Functions Version 15 of 109 January 1, 2016 Chapter 2 Graphs of Trig Functions Graphs of Basic (Parent) Trigonometric Functions It is instructive to view the parent Trigonometric Functions on the same axes as their reciprocals. Identifying patterns between the two Functions can be helpful in graphing them. Looking at the sine and cosecant Functions , we see that they intersect at their maximum and minimum values ( , when 1 ). The vertical asymptotes (not shown) of the cosecant function occur when the sine function is zero.
sine, cosine, secant and cosecant, period L 2π; for tangent and cotangent, period L π. For the general function, B : T ;, defined above, period L n _ p c l r r c p g m b F. Frequency Frequency is most useful when used with the sine and cosine functions. It is the reciprocal of the period, i.e.,
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