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6. Let z1 = x1 and z2 = x2, with x1, X2 real, and the relationship ei(x1+*2) = etx1ętx2 to deduce the known trigonometric formulae sin(x, + x2) = sin x, cos x2 + cos x, sin x2 cos(x1 + x2) = cOS x, cOS X2 sin x1 sin x2 and therefore show sin 2x = :2 sin x cos X cos 2x cos? x – sin? x

6. Let z1 = x1 and z2 = x2, with x1, X2 real, and the relationship ei(x1+*2) = etx1ętx2 to deduce the known trigonometric formulae sin(x, + x2) = sin x, cos x2 + cos x, sin x2 cos(x1 + x2) = cOS x, cOS X2 sin x1 sin x2 and therefore show sin 2x = :2 sin x cos X cos 2x cos? x – sin? x

Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Can you please assist me with attached complex ana;ysis question, thanks in advance

6. Let z, = x1 and z2 = x2, with x1, X2 real, and the relationship ei(x1+x2) = elX1eix2 to deduce the known trigonometric formulae sin(x1 + x2) = = sin x, cos X2 + cos x1 sin x2 cos(x, + x2) = cos x, cos X2 – sin x, sin x2 and therefore show sin 2x = 2 sin x cos x cos 2x = cos? x – sin? x
Transcribed Image Text:6. Let z, = x1 and z2 = x2, with x1, X2 real, and the relationship ei(x1+x2) = elX1eix2 to deduce the known trigonometric formulae sin(x1 + x2) = = sin x, cos X2 + cos x1 sin x2 cos(x, + x2) = cos x, cos X2 – sin x, sin x2 and therefore show sin 2x = 2 sin x cos x cos 2x = cos? x – sin? x
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