A curve K K\,K has parametric equations
x=3sint+2,y=2cos2t−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≤2πFind 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.
Sketch the curve