What would the equation "r = sin(30 * theta) be in a cartessian equation?
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Answer:
Use the Pythagorean theorem and a little bit of trig. You know that the polar radius r forms the hypotenuse of a right triangle whose sides are the Cartesian x and y, so: r² = x² + y² And you know that the tangent of an angle θ in this right triangle is the ratio of the side opposite (y) over the side adjacent (x), so: θ = arctan(y/x) The rest should be easy.
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Other answers
Use the Pythagorean theorem and a little bit of trig. You know that the polar radius r forms the hypotenuse of a right triangle whose sides are the Cartesian x and y, so: r² = x² + y² And you know that the tangent of an angle θ in this right triangle is the ratio of the side opposite (y) over the side adjacent (x), so: θ = arctan(y/x) The rest should be easy.
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