A polar curve is given as r = cos 2 + cos . a. Show that x

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A polar curve is given as r = cos 2θ + cos θ.

a. Show that x = cos θ + cos² θ - 2cos³ θ.

b. Differentiate the result in part a and show that for stationary points sinθ(6 cos² + cos θ - 1) = 0.

c. Deduce the minimum value of x.

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Cambridge International AS & A Level Further Mathematics Coursebook

ISBN: 9781108403375

1st Edition

Authors: Lee Mckelvey, Martin Crozier

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Question Posted: Sep 24, 2021 12:51 AM

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A polar curve is given as r = cos 2 + cos . a. Show that x

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Solution a x cos cos2 2cos3 d cos2 cos 2cos3 d 1 cos2 cos3 1 2cos3 d sin2 x d x 1 2cos3 x 1 ...View the full answer

Cambridge International AS & A Level Further Mathematics Coursebook

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