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1.3 Coordinate Geometry in the x-y Plane

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Question 4

A curve K K\,K has parametric equations

x=3sin⁡t+2,y=2cos⁡2t−50≤t≤2π x = 3 \sin t + 2, \quad y = 2 \cos^2 t - 5 \quad 0 \leq t \leq 2\pi x=3sint+2,y=2cos2t−50≤t≤2π
a.

Find an equation for K K\,K in the form y=f(x)y = f(x)y=f(x) and state the domain for which the curve is defined.

[3]
b.

Sketch the curve

[3]

1.3 Coordinate Geometry in the x-y Plane Questions

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  3. /1.3 Coordinate Geometry in the x-y Plane