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Graphing Other Trig Functions

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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Graphing Other Trig Functions

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  1. Graphing Other Trig Functions Lesson 2.6

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

  3. Plotting the Ordered Pairs Period = π No max or min, no amplitude – goes to infinity

  4. 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

  5. Analyzing y = a tan(b x) • The value of b affects the period

  6. cotangent(x) • The shape of the graph is the same • The curve tilts the other way

  7. cosecant(x) • The reciprocal of sin(x) csc(x) sin(x)

  8. 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

  9. Assignment • Lesson 2.6 • Page 189 • Exercises 1 – 53 EOO View nSpire version of Rocket LaunchProblem

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