Although the plot function is designed primarily for plotting standard xy graphs, it can be adapted for other kinds of plotting as well. b. Make a plot of the curve, which is defined parametrically by the equations x = 2cosθ + cos2θ, y = 2sinθ - sin2θ, where 0 < θ < 2π. Take a set of values of θ between zero and 2π and calculate x and y for each from the equations above, then plot y as a function of x. b. Taking this approach a step further, one can make a polar plot r = f(θ) for some function f by calculating r for a range of values of θ and then converting r and θ to Cartesian coordinates using the standard equations x = r cosθ, y = r sinθ. Use this method to make a plot of the function r = ecosθ – 2 cos(4θ) + sin5 (θ/12) in the range 0 <= θ <= 24π. use python code to answer
Although the plot function is designed primarily for plotting standard xy graphs, it
can be adapted for other kinds of plotting as well.
b. Make a plot of the curve, which is defined parametrically by the equations
x = 2cosθ + cos2θ, y = 2sinθ - sin2θ,
where 0 < θ < 2π. Take a set of values of θ between zero and 2π and calculate x
and y for each from the equations above, then plot y as a function of x.
b. Taking this approach a step further, one can make a polar plot r = f(θ) for some
function f by calculating r for a range of values of θ and then converting r and
θ to Cartesian coordinates using the standard equations x = r cosθ, y = r sinθ.
Use this method to make a plot of the function
r = ecosθ – 2 cos(4θ) + sin5 (θ/12)
in the range 0 <= θ <= 24π.
use python code to answer the highlight one
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