A curve $C$ has parametric equations \[x = \sin^2 t, \quad y = 1 + 2 \sin t, \quad -\frac{\pi}{2}

Question

A curve $C$ has parametric equations $$x = \sin^2 t, \quad y = 1 + 2 \sin t, \quad -\frac{\pi}{2} \le t \le \frac{\pi}{2}$$ Sketch $C$, stating clearly the coordinates of the endpoints and the coordinates of the $y$-intercept(s).[2] Find the exact cartesian equation of $l$, the normal to $C$ at the point $\left(\frac{1}{4}, 2\right)$.[4]

Accepted Answer

(b)8y=-4x+17 or $y=-\frac{1}{2}x+\frac{17}{8}$

2025 CJC P1 Q3

2025 CJC P1 Q3