Question

show that the tangent at the point theta=pi/6 on the curve r=acos 2theta meets the initial line at a distance of a/(3)^1/2 from the curve​

Answer 1

Answer: the point with rectangular coordinates (1, √3) and polar ... r = 1 + cos(π/2) = 1, so we graph the point at distance 1 from the origin along the ... EXAMPLE 10.1.6 Graph r = 2 sinθ. ... First we substitute for x and y to get (r cos θ)2 + (r sin θ − 1)2 = 1; ... curve hits the origin and does not have a tangent line.

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Answer 2

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Answer: the point with rectangular coordinates (1, √3) and polar ... r = 1 + cos(π/2) = 1, so we graph the point at distance 1 from the origin along the ... EXAMPLE 10.1.6 Graph r = 2 sinθ. ... First we substitute for x and y to get (r cos θ)2 + (r sin θ − 1)2 = 1; ... curve hits the origin and does not have a tangent line.