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Warm Up

Warm Up. No Calculator Convert the rectangular point to polar form. Convert the polar point (-6, 225º) to rectangular form. Convert the equation x 2 + 8x = 2y to polar form. Convert the equation r = 3sin θ to rectangular form.

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Warm Up

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  1. Warm Up No Calculator • Convert the rectangular point to polar form. • Convert the polar point (-6, 225º) to rectangular form. • Convert the equation x2 + 8x = 2y to polar form. • Convert the equation r = 3sinθ to rectangular form. • Which of the following polar coordinate pairs represent the same point as the point with polar coordinates (-2, 105º)? • (-2, -75º) • (2, -105º) • (-2, 825º) • (2, 465) • (2, -255º)

  2. Homework Questions…

  3. Graphing Polar Equations without a calculator…

  4. Use your Polar Graphs Investigation Homework…(#s1 – 4) a) r = a b) r = acos θ c) r = asin θ Generalizations that will help you graph each without a calculator: Without a calculator, graph the following. 1) r = -6sinθ 2) r = 5

  5. Use your Polar Graphs Investigation Homework…(#8-11 ) r = a  b cos θ OR r = a  b sin θWhat will make these graphs cardioids instead of a limaçons?

  6. Use your Polar Graphs Investigation Homework…(#5-7 ) r = acos(nθ) OR r = asin(nθ) These are called “rose curves” If n is an odd number, generalizations that will help you graph without a calculator… If n is an even number, generalizations that will help you graph without a calculator…

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