for the following equation, find and plot the cartsian equations of the loci & Z. Z+9 J Sin TI - 3J+ 42 Present results in explicit forms. ( a) first find the modulus of the complex numbers. ( b) Derive the equation of figure in correct explicit form. find the characteristic coordinates of the figure . (d ) Present figure in the Argand diagram. Hint:- - Replace the trip function by their exact valued - For a circle, indicate explicity co-ordinates of its centre - for an ellipse , indicate explicitly coordinates of its faci and semiaxes - for a straight line indicate explicitly it's gradient and y- intercept - for a ray indicate explicitly coordinates of it's origin and gradient