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Unformatted text preview: Graphs of the Secant and
Cosecant Function
Cosecant Section 2.7 y = sec x
sec
3 y = sec x 2 1 A
2 2 1 2 4 y = csc x
csc
3 y = csc x 2 1 A
2 2 1 2 4 For y = a sec b(x +c) + d ; y = a cot b(x +c) + d a vertically stretches or shrinks the graph. The period is 2π.
b The phase shift is c units to the left if c > 0.
The The phase shift is c units to the right if c < 0.
The The vertical shift is d units up if d > 0.
The
0. The vertical shift is d units down if d < 0.
The Asymptotes
Asymptotes The secant function has asymptotes 2n + 1 b( x + c ) = ÷π , if n is an integer .
2 The cosecant function has asymptotes b( x + c) = nπ , if n is an integer . Joke Time
Joke What happened to the trigonometry
What
teacher with amnesia?
teacher He lost his identities. What math is discussed between sea
What
birds?
birds? Intergull calculus ...
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This note was uploaded on 12/01/2011 for the course MATH 111 taught by Professor Stuff during the Winter '11 term at BYU.
 Winter '11
 stuff
 Calculus

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