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3 Unit A2 1: Pure Mathematics (A-level only)

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Question 315

The equation x=cos⁡xx=\cos xx=cosx has a root between 0 and 1. Starting with x0=0.7x_0=0.7x0​=0.7, use the iteration

xn+1=cos⁡xnx_{n+1}=\cos x_nxn+1​=cosxn​

to find x1x_1x1​, x2 x_2\,x2​ and x3x_3x3​. Give each value to four decimal places.

[3]
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3 Unit A2 1: Pure Mathematics (A-level only) Questions

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