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.

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.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.3: Hyperbolas

Problem 25E

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