CalcNotes0103-page6

CalcNotes0103-page6 - 1 are themselves, so csc x and sin x...

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(Chapter 1: Review) 1.40 • We use the graphs of y = sin x and y = cos x (in black in the figures below) as guide graphs to help us graph y = csc x and y = sec x . Relationships between the graphs of y = csc x and y = sin x (and between the graphs of y = sec x and y = cos x ): •• The VAs in the graph of y = csc x are drawn through the x -intercepts of the graph of y = sin x . This is because csc x is undefined ± sin x = 0 . •• The reciprocals of 1 and
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Unformatted text preview: 1 are themselves, so csc x and sin x take on each of those values simultaneously. This explains how their graphs intersect. Because sin and csc are reciprocal trig functions, we know that, between the VAs in the graph of y = csc x , they share the same sign, and one increases the other decreases....
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