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**Unformatted text preview: ** 3 sin(2x) is a sinusoid, g (x) = cos(2x) − 3 sin(3x) is not.10 It
is also worth mentioning that, had we chosen A = −2 instead of A = 2 as we worked through
Example 10.5.3, our ﬁnal answers would have looked diﬀerent. The reader is encouraged to rework
Example 10.5.3 using A = −2 to see what these diﬀerences are, and then for a challenging exercise,
use identities to show that the formulas are all equivalent. The general equations to ﬁt a function
of the form f (x) = a cos(ωx) + b sin(ωx) + B into one of the forms in Theorem 10.23 are explored
in the Exercises.
9
10 Be careful here!
This graph does, however, exhibit sinusoid-like characteristics! Check it out! 682 10.5.2 Foundations of Trigonometry Graphs of the Secant and Cosecant Functions 1
We now turn our attention to graphing y = sec(x). Since sec(x) = cos(x) , we can use our table
of values for the graph of y = cos(x) and take reciprocals. We know from Section 10.3.1 that the
domain of F (x) = sec(x) excludes all odd multiples of ...

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