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Graphing Other Trig Functions. Lesson 2.6. ?. Ordered Pairs. Consider the ordered 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).

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Presentation Transcript
ordered pairs

?

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

Period = π

No max or min, no amplitude – goes to infinity

analyzing y a tan b x
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 x5
Analyzing y = a tan(b x)
  • The value of b affects the period
cotangent x
cotangent(x)
  • The shape of the graph is the same
  • The curve tilts the other way
cosecant x
cosecant(x)
  • The reciprocal of sin(x)

csc(x)

sin(x)

secant 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
Assignment
  • Lesson 2.6
  • Page 189
  • Exercises 1 – 53 EOO

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