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Polar Coordinates

Polar Coordinates. Sections 6.3. Objectives. Plot point in the polar coordinate system Find multiple sets of polar coordinates for a given point Convert between polar and rectangular coordinates

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Polar Coordinates

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  1. Polar Coordinates Sections 6.3

  2. Objectives • Plot point in the polar coordinate system • Find multiple sets of polar coordinates for a given point • Convert between polar and rectangular coordinates • Convert between equations given in rectangular coordinates and equations given in polar coordinates

  3. Plot the point

  4. Multiple Representations of Polar Points • if n is any integer, the point (r, θ) can be represented as

  5. Find another representation (in polar coordinates) for the point

  6. Relationships Between Polar and Rectangular Coordinates

  7. Find the rectangular coordinates for the point

  8. Find the polar coordinates for the point (given in rectangular coordinates) such that r > 0 and 0 ≤ θ< 2π

  9. Convert the rectangular equation to a polar equation. Express r in terms of θ.

  10. Convert the polar equation to a rectangular equation.

  11. Convert the polar equation to a rectangular equation.

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