Consider the conic section given by the polar equation 4 1-sin 0 (a) (b) (c) (d) r Without converting into Cartesian form, identify the conic section represented by the equation above. Write out, with justification, the directrix and the focus (or foci) of the conic section. Determine the exact length of the curve of the conic section from 0 = 0 to 0 = π/6. Explain whether the tangent of the curve at the point where 0 = π/4 is orthog- onal to the line y = √2x+1.

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