[T] A curve C is given parametrically by the equations x = 3 cost, y=-2+4sint, 0t...

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[T] A curve C is given parametrically by the equations x = 3 cost, y=-2+4sint, 0≤t<2n. a) Find the coordinates of all the points at which C'intersects the coordinate axes giving your answers in surd form where appropriate. b) Sketch the graph of C c) P is a point where t ==, find the equation of the normal to C at P. 4 [T] A curve C is given parametrically by the equations x = 3 cost, y=-2+4sint, 0≤t<2n. a) Find the coordinates of all the points at which C'intersects the coordinate axes giving your answers in surd form where appropriate. b) Sketch the graph of C c) P is a point where t ==, find the equation of the normal to C at P. 4