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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Find an equation equivalent to 2x + 3y = 6 in polar coordinates.
Solution:
To find the equivalent in polar coordinates we consider the figure given below:
The equation 2x + 3y = 6 can be written in polar coordinates as:
2(rcosθ) + 3 (rsinθ) = 6
Taking r(radius of the circle or the radius vector) common we have
r(2cosθ + 3sinθ) = 6
r = 6/(2cosθ + 3sinθ)
Find an equation equivalent to 2x + 3y = 6 in polar coordinates.
Summary:
The equation equivalent to 2x + 3y = 6 in polar coordinates is r = 6/(2cosθ + 3sinθ)
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