The polar form of an equation of a curve is r = (sin ). Show that the
Question:
The polar form of an equation of a curve is r = ƒ(sin θ). Show that the form becomes
(a) r = ƒ(-cos θ) if the curve is rotated counterclockwise π/2 radians about the pole.
(b) r = ƒ(-sin θ) if the curve is rotated counterclockwise π radians about the pole.
(c) r = ƒ(cos θ) if the curve is rotated counterclockwise
3π/2 radians about the pole.
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