Edexcel IALMathematicsGeneral Applications3 Marks
A curve C has parametric equations x = 3cos(t) + 2, y = 4sin(t) - 1, for 0 ≤ t < 2π. (a) Show that the Cartesian equation of C is (x - 2)²/9 + (y + 1)²/16 = 1.
- (a)Show that the Cartesian equation of C is (x - 2)²/9 + (y + 1)²/16 = 1.[3]
Mark scheme
Marking points from the official mark scheme. The mark or mark type is shown in brackets.
- M1 for attempting to make cos(t) and sin(t) the subject.
- A1 for cos(t) = (x - 2)/3 and sin(t) = (y + 1)/4.
- A1 for using cos²(t) + sin²(t) = 1 to obtain the given Cartesian equation.
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