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dusya [7]
3 years ago
7

Convert the rectangular equation to polar form.

Mathematics
1 answer:
N76 [4]3 years ago
3 0
To convert from rectangular coordinate (x, y) to polar coordinate (r, θ).
r is given by the square root of the sum of the squares of the rectangular coordinate.
r= \sqrt{x^2+y^2}
and θ is given by the arctan of the ratio of y to x.
\theta=\tan^{-1} \frac{y}{x}
Example:
To convert rectangular coordinate (3, 4) to polar coordinate
r= \sqrt{3^2+4^2} = \sqrt{9+16} = \sqrt{25} =5 \\ \theta=\tan^{-1}( \frac{4}{3}) =53.13^o
Therefore, rectangular coordinate (3, 4) = polar coordinate (5, 53.13°)
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