CAIE A Level Mathematics 9709 · Differentiation (A2)

Differentiation (A2): calculation question

4 marksStandard

A curve is defined parametrically by $x = 3 \cos t$ , $y = 6 \sin t$ , where $t$ is a parameter. Find $\frac{dy}{dx}$ in terms of $t$ .

(a)
Find $\frac{dy}{dx}$ in its simplest form.
[4]

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