A curve C C\,C has parametric equations
x=tant+1,y=sec2t+4,0≤t≤2π, t≠π2,3π2 x = \tan t + 1, \quad y = \sec^2 t + 4, \quad 0 \leq t \leq 2\pi, \, t \neq \frac{\pi}{2}, \frac{3\pi}{2} x=tant+1,y=sec2t+4,0≤t≤2π,t=2π,23πFind an equation for C C\,C 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 CCC.
