Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN: 9780134217437
Author: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher: PEARSON
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Find all of the indicated roots. Write all answers in standard form. Round approximate constants to the nearest
thousandth.
the four fourth roots of -256
Step 1
Write -256 in trigonometric form.
Z = 256 ci I
Then by De Moivre's Theorem, the fourth roots of -256 are given by the following.
1/4
Wk = 256-
I + 360°
cis
for k = 0, 1, 2, 3
%3D
4
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Transcribed Image Text:Find all of the indicated roots. Write all answers in standard form. Round approximate constants to the nearest thousandth. the four fourth roots of -256 Step 1 Write -256 in trigonometric form. Z = 256 ci I Then by De Moivre's Theorem, the fourth roots of -256 are given by the following. 1/4 Wk = 256- I + 360° cis for k = 0, 1, 2, 3 %3D 4
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