Chapter 5 – Trigonometric Functions: Unit Circle Approach 5.4  More Trigonometric Graphs.
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Transcript of Chapter 5 – Trigonometric Functions: Unit Circle Approach 5.4  More Trigonometric Graphs.
 Slide 1
 Chapter 5 Trigonometric Functions: Unit Circle Approach 5.4  More Trigonometric Graphs
 Slide 2
 Cosecant
 Slide 3
 Graphing y = Acsc(Bx  C) +D Graph the sine function with dotted lines. The max point of the sine function is the MINIMUM point of the cosecant function. The min point of the sine function is the MAXIMUM point of the cosecant function. Where the sine function and y = D intersect are the vertical asymptotes of the cosecant function.
 Slide 4
 Cosecant Example Graph the following equation:
 Slide 5
 Secant
 Slide 6
 Graphing y = Asec(Bx  C) + D Graph the cosine function with dotted lines. The max point of the cosine function is the MINIMUM point of the secant function. The min point of the cosine function is the MAXIMUM point of the secant function. Where the cosine function and y = D intersect are the vertical asymptotes of the secant function.
 Slide 7
 Secant Example Graph the following equation:
 Slide 8
 Tangent
 Slide 9
 Graphing y = Atan(Bx  C) + D Find two consecutive asymptotes A pair of consecutive asymptotes occur at Find the point midway between the asymptotes (this is the xintercept if there is no vertical shift; the yvalue is the D). Find the points on the graph that are and of the way between the asymptotes. These points will have the yvalues of D+A and DA respectively.
 Slide 10
 Tangent Example Graph the following equation:
 Slide 11
 Cotangent
 Slide 12
 Graphing y = Acot(Bx  C) + D Find two consecutive asymptotes A pair of consecutive asymptotes occur at Find the point midway between the asymptotes (this is the xintercept if there is no vertical shift; the yvalue is the D). Find the points on the graph that are and of the way between the asymptotes. These points will have the yvalues of A+ D and A+D respectively.
 Slide 13
 Cotangent Example Graph the following equation:
 Slide 14
 Graphing Summary
 Slide 15