The parametric equations of a curve is given by $x={{\sin }^{2}}t$, $y=3\cos t$ for $0\le t\le \pi $

Question

The parametric equations of a curve is given by $x={{\sin }^{2}}t$, $y=3\cos t$ for $0\le t\le \pi $ Find the cartesian equation of this curve. Sketch the curve. Find the value of $t$ at the point on curve whose tangent is parallel to the $y$-axis.

Accepted Answer

(i) x + y²/9 = 1; (iii) (1, 0)

YI Tutorial Question 1

YI Tutorial Question 1

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