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Question 8.
2 sin θ - 3 cos θ = r
Multiply both sides by r.
2 r sinθ - 3 r cosθ = r•r
2y - 3x = r^2
2y - 3x = x^2 + y^2
2y - 3x - x^2 - y^2 = 0
You say?
correct
you can leave it like that, but I prefer solving for y which means to isolate y