A Trigonometric Polynomial of order n is a function of the form:
?(?) = ?0 + ?1 cos ? + ?1 sin ? + ?3 cos(2?) + ?2sin(2?) + ⋯ +
?ncos(??) + ?nsin (??)
1) Show that the set {1, cos ? , sin ? , cos(2?) , sin(2?)} is a
basis for the vector space
?2 = {?(?) | ?(?)?? ? ????????????? ?????????? ?? ????? ≤ 2}
< ?, ? > = ∫ ?(?)?(?)?? defines an inner-product on...