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Unformatted text preview: h below and ﬁnd the period to be
1 − (−1) = 2. The associated sine curve, y = sin(π−πx)−5 , is dotted in as a reference.
1 g (x)
−3 0 undeﬁned −1
2 −2 −1 (x, g (x)) undeﬁned 1
2, −3 −1 − 1
2 1 x −1 −2 − 1 , −2
One cycle of y = csc(π −πx)−5
3 686 Foundations of Trigonometry Before moving on, we note that it is possible to speak of the period, phase shift and vertical shift of
secant and cosecant graphs and use even/odd identities to put them in a form similar to the sinusoid
forms mentioned in Theorem 10.23. Since these quantities match those of the corresponding cosine
and sine curves, we do not spell this out explicitly. Finally, since the ranges of secant and cosecant
are unbounded, there is no amplitude associated with these curves. 10.5.3 Graphs of the Tangent and Cotangent Functions Finally, we turn our attention to the graphs of the tangent and cotangent functions. When constructing a table of values for the tangent fun...
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