Are the functions /,9, and h given below linearly Independent? (2) = - cos(0z), g(e) e + cos(92), h(2) = cos(02). If they are independent, enter all zeroes. If they are not linearly independent, find a nontrivial solution to the equation below. Be sure you can justity your answer. (c - cos(9z)) + (*+ cos(02) + (cos(9r))=0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
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Are the functions /.9, and h given below linearly independent?
(2) =- cos(02), g(e) = e + con(9), h(2) = cos(02).
It they are independent, enter all zeroes. If they are not linearly independent, find a nontrivial solution to the equation below. Be sure you can justify your answer.
(- cos(92) +
(*+ cos(92) +
(con(9r)) 0.
Transcribed Image Text:Are the functions /.9, and h given below linearly independent? (2) =- cos(02), g(e) = e + con(9), h(2) = cos(02). It they are independent, enter all zeroes. If they are not linearly independent, find a nontrivial solution to the equation below. Be sure you can justify your answer. (- cos(92) + (*+ cos(92) + (con(9r)) 0.
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