Graphing Other Trig Functions

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Presentation transcript:

Graphing Other Trig Functions Lesson 2.6

Ordered Pairs Consider the ordered pairs in the table at the right x tan(x) -3.142 0.000 -2.618 0.577 -2.094 1.732 -1.571 -1.047 -1.732 -0.524 -0.577 0.524 1.047 1.571 2.094 2.618 3.142 3.665 4.189 4.712 5.236 5.760 6.283 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

Try with web graphing utility 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

View nSpire version of Rocket Launch Problem Assignment Lesson 2.6 Page 189 Exercises 1 – 53 EOO View nSpire version of Rocket Launch Problem