Hence we rewrite csc 1 x 2 as sin 3 x 2 22 3 there

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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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This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

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