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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

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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 70E
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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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