A parametric curve is given by: r = 11 + 3 cos θ?
Point P is at θ = (25π/22)
A) Find polar coordinate r for P, with r > 0 and π < θ < 3π/2
r = ?
B)Find cartesian coordinates for point P
x = ?
y = ?
C) How many times does the curve pass through the origin when 0 < θ < 2π?
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A) r(25π/22) = 11 + 3∙cos(25π/22)
B) x = r∙cosθ
y = r∙sinθ
Just use the r and θ above.
C) Use the x and y from b, but make them into functions of θ:
x(θ) = [11 + 3∙cos(θ)]∙cos(θ)
y(θ) = [11 + 3∙cos(θ)]∙sin(θ)
Then solve for when both x and y are 0.