FP3.2.1 - Cartesian and parametric equations

Cartesian and parametric equations Extension of work from FP1. for the ellipse and hyperbola.; Students should be familiar with the equations: x2 y2 + = 1; x = a cos t, y = b sin t. a2 b2 x2 y2 − = 1; x = a sec t, y = b tan t; a2 b2 x = a cosh t, y = b sinh t.

Use fp3.2.1 - cartesian and parametric equations to connect the rule to the data and decision in the question.

This matters because fp3.2.1 - cartesian and parametric equations determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply fp3.2.1 - cartesian and parametric equations to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: use the formula and units given in the question, show the substitution and interpret the result; the calculation alone is not the conclusion.