S p. 702: 1-19 odd, 25-29 odd, 37-47 odd. Rectangular (Cartesian) coordinates plot a point by moving left/right and up/down (making a rectangle)  Polar.

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S p. 702: 1-19 odd, odd, odd

Rectangular (Cartesian) coordinates plot a point by moving left/right and up/down (making a rectangle)  Polar coordinates find the same point in a different way r = distance from the origin (radius) θ = angle with positive x-axis Polar Coordinates

Ex. The Cartesian coordinates of a point are given, find the polar coordinates. a)(0,1) b) c)

Polar  RectRect  Polar Ex. The polar coordinates of a point are given, find the Cartesian coordinates. a)(2,π) b)

Ex. Find the polar equation for the curve. a) x 2 + y 2 = 3y b) x 3 y 2 + ln y = 3

Ex. Find the Cartesian equation for the curve. a) r = cos θ b) sin θ = r 2 cos θ

Ex. Sketch the polar equation r = 3

Ex. Sketch the polar equation θ =

Ex. Sketch the polar equation r = sec θ.

Ex. Sketch the polar equation r = 2cos5θ Now use your calculator.

Ex. For the polar graph r = 3 – 2sin θ, find

For the function r = f (θ), Ex. Find the equation of the tangent line to r = sin θ when θ =