The equation cos 1 3x = 1 x has a root . a. Show, by calculation,

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The equation cos⁻¹ 3x = 1 − x has a root α.

a. Show, by calculation, that α is between π/15 and π/12.

b. Show that the given equation can be rearranged into the form

with a suitable starting value, x₁, find the value of to 3 decimal places. Give the result of each iteration to 5 decimal places.

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Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

ISBN: 9781108407199

1st Edition

Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey

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Question Posted: Apr 05, 2023 11:08 AM

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The equation cos 1 3x = 1 x has a root . a. Show, by calculation,

Question:

X = 1 - cos (1-x).

Step by Step Answer:

ANSWER a To show that is between 15 and 12 we will first rewrite the equation cos1 3x 1 x in terms o...View the full answer

Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

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