Graphing Other Trig Functions

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# Graphing Other Trig Functions - PowerPoint PPT Presentation

Graphing Other Trig Functions. Lesson 2.6. ?. Ordered Pairs. Consider the ordered pairs in the table at the right Note Period = Ï€ Maximum y values Minimum y values. Plotting the Ordered Pairs. Period = Ï€. No max or min, no amplitude â€“ goes to infinity. Analyzing y = a tan(b x).

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### Graphing Other Trig Functions

Lesson 2.6

?

Ordered Pairs
• Consider theordered pairs in the table at the right
• Note
• Period = π
• Maximum y values
• Minimum y values
Plotting the Ordered Pairs

Period = π

No max or min, no amplitude – goes to infinity

Analyzing y = a tan(b x)
• The leading coefficient does not affect the amplitude
• There is no amplitude
• Rather it affects how much the curve flattens out

Try with web graphing utility

Analyzing y = a tan(b x)
• The value of b affects the period
cotangent(x)
• The shape of the graph is the same
• The curve tilts the other way
cosecant(x)
• The reciprocal of sin(x)

csc(x)

sin(x)

secant(x)
• Reciprocal of cos(x)
• Note for y = a sec (b x)
• The a affects how low/high the dip occurs
• The b affects the period
• As with sin and cos, period = 2π/b
Assignment
• Lesson 2.6
• Page 189
• Exercises 1 – 53 EOO

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