Use residues to establish the following trigonometric integral formula: »2n cos?(30) de = J, 5-4cos(20)) 7.93.3: 8 HINT: Look at formula (7) of Section 93 for how to transform cos(20) into the z variable (it should remind you of de Moivre's formula). Deduce a similar formula for how to transform cos(30). Keep in mind that some singularities don't matter because they are outside the contour of integration (though by my count you still need to compute three

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Use residues to establish the following trigonometric integral formula:
-2 cos?(30)
de =
7.93.3:
5-4cos(20)
8
HINT: Look at formula (7) of Section 93 for how to transform cos(20) into the z variable
(it should remind you of de Moivre's formula). Deduce a similar formula for how to
transform cos(30). Keep in mind that some singularities don't matter because they are
outside the contour of integration (though by my count you still need to compute three
residues).
Transcribed Image Text:Use residues to establish the following trigonometric integral formula: -2 cos?(30) de = 7.93.3: 5-4cos(20) 8 HINT: Look at formula (7) of Section 93 for how to transform cos(20) into the z variable (it should remind you of de Moivre's formula). Deduce a similar formula for how to transform cos(30). Keep in mind that some singularities don't matter because they are outside the contour of integration (though by my count you still need to compute three residues).
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