Question

1) Show that the formulas below represent the equation of a circle. x = h +...

1) Show that the formulas below represent the equation of a circle.

x = h + r cos θ

y = k + r sin θ

2) Use the equations in the preceding problem to find a set of parametric equations for a circle whose radius is r = 4 and whose center is (-1,-2).

3)  Plot each of the following points on the polar plane. A(2, π/4), B(1, 3π/2), C(4, π)

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