Stevencriollo6838
14.10.2019 •
Mathematics
Write the following polar equation in cartesian coordinates:
r = sin (2θ) becomes
= 0
(write the equation so any square root has a positive coefficient.)
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Ответ:
x=r*cos(α)
y=r*sin(α)
From this we can conclude that:
r=√(x^2 + y^2)
Using trigonometry transformations we can write:
r=sin(2α) = 2sin(α)cos(α)
Now we can multiply both sides with r^2:
r^3 = 2(r*sin(α))*(r*cos(α))
Now using some replacements we can write:
(x^2 + y^2)^(3/2) = 2*x*y
Ответ:
is that supposed to be written as a fraction and you are looking for a percentage?