Find all solutions to the equation: [cos(x) + 1][2cos(x)– /3]=0. Bx equals fraction numerator 3 straight pi over denominator 2 end fraction plus 2 rik comma space x equals A straight pi plus 2 tk comma space x equals fraction numerator 11 straight pi over denominator 6 end fraction plus 2 Tik comma space w herespace k element of straight integer numbers Dx equals straight pi plus 2 ik comma space x equals straight pi over 6 plus 2 rik comma space x equals fraction B) numerator 11 straight pi over denominator 6 end fraction plus 2 nik comma space where space k element of straight integer numbers Dx equals straight pi plus 2 rik comma space x equals fraction numerator 5 straight pi over denominator 6 end fraction plus 2 rik comma space x equals fraction numerator 11 straight pi over denominator 6 end fraction plus 2 Tik comma space where space straight k element of straight integer numbers Dx equals straight pi plus rik comma space x equals straight pi over 6 plus rik comma space x equals fraction numerator 11 straight pi over denominator 6 end fraction plus tk comma space where space k element of

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.5: Applications
Problem 17EQ
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Find all solutions to the equation: [cos(x)+ 1][2cos(x)– /3]=0.
x equals fraction numerator 3 straight pi over denominator 2 end fraction plus 2 Tik comma space x equals
A
Tik comma space where space k element of straight integer numbers
straight pi plus 2 tk comma space x equals fraction numerator 11 straight pi over denominator 6 end fraction plus 2
Ex equals straight pi plus 2 nk comma space x equals straight pi over 6 plus 2 ik comma space x equals fraction
B numerator 11 straight pi over denominator 6 end fraction plus 2 Tik comma space where space k element of
straight integer numbers
x equals straight pi plus 2 ik comma space x equals fraction numerator 5 straight pi over denominator 6 end
fraction plus 2 ik comma space x equals fraction numerator 11 straight pi over denominator 6 end fraction plus 2
Tik comma space where space straight k element of straight integer numbers
equals straight pi plus ık comma space x equals straight pi over 6 plus ik comma space x equals fraction
numerator 11 straight pi over denominator 6 end fraction plus ik comma space where spacek element of
straight integer numbers
Transcribed Image Text:Find all solutions to the equation: [cos(x)+ 1][2cos(x)– /3]=0. x equals fraction numerator 3 straight pi over denominator 2 end fraction plus 2 Tik comma space x equals A Tik comma space where space k element of straight integer numbers straight pi plus 2 tk comma space x equals fraction numerator 11 straight pi over denominator 6 end fraction plus 2 Ex equals straight pi plus 2 nk comma space x equals straight pi over 6 plus 2 ik comma space x equals fraction B numerator 11 straight pi over denominator 6 end fraction plus 2 Tik comma space where space k element of straight integer numbers x equals straight pi plus 2 ik comma space x equals fraction numerator 5 straight pi over denominator 6 end fraction plus 2 ik comma space x equals fraction numerator 11 straight pi over denominator 6 end fraction plus 2 Tik comma space where space straight k element of straight integer numbers equals straight pi plus ık comma space x equals straight pi over 6 plus ik comma space x equals fraction numerator 11 straight pi over denominator 6 end fraction plus ik comma space where spacek element of straight integer numbers
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