A curve S S\,S has parametric equations
x=1+2sint,y=5−cos2t0≤t≤2π x = 1 + 2 \sin t, \quad y = 5 - \cos^2 t \quad 0 \leq t \leq 2\pi x=1+2sint,y=5−cos2t0≤t≤2πFind an equation for S S\,S 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