The correct description for the polar function, r = 6sin(θ) is: D. Circle symmetric on the line theta = 0, with a radius of 6.
The conversion of polar coordinates.
In Mathematics, the relationship between the polar coordinates (r, θ) and rectangular coordinates (x, y) is given by these polar functions:
On the horizontal plane:
x = rcosθ
On the vertical plane:
y = rsinθ
Where:
- r is the diameter of a circle.
In conclusion, the correct description for the polar function, r = 6sin(θ) is circle symmetric on the line with an angle (θ) equal to zero (0) and a radius of 6.
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