C) Find and prove the Sine quadruple - angle identities for sine e Cosine Euler's I dentity. That is, find formulas for cos (40) using and sin (46) in terms of cos (6) and sin (6).

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
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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I’m so sorry, can someone please explain to me what these c0,c1,c2, etc are in the response I just received from you guys? I’ll send my original question and the response. I have just never seen that before! I super appreciate you guys! I was just getting stuck on using Euler’s identity to find the quadruple angles for sine and cos. Thanks!
This relateS
Cortesian Coordinates by giving us the rcos (6) which = X
and risin (6) which =
in polar torm and r= the
distance from the origin
C) Find and
Cosine using Euler's I dentity. That is, find formulas for cos (40)
and sin (46) in terms of cos (6) and sin (6).
prove
the sine quadruple - angle identities for sine &
(e)".
+isino)
%3D
2.?. 2
Cos'6 + 4 cos 6 i sino + 6cosi sino +lcose i sin'o + i'sin"s
: (OS e
(os"6 + 4 cos'oi sino-bos 6 Sino -4 cosoi sin'o+ sin"o
(cos'6 - 6cos 6 Sin'o + sin's) + i (4cos'6 Sino -4coso sin's)
6 +9
Transcribed Image Text:This relateS Cortesian Coordinates by giving us the rcos (6) which = X and risin (6) which = in polar torm and r= the distance from the origin C) Find and Cosine using Euler's I dentity. That is, find formulas for cos (40) and sin (46) in terms of cos (6) and sin (6). prove the sine quadruple - angle identities for sine & (e)". +isino) %3D 2.?. 2 Cos'6 + 4 cos 6 i sino + 6cosi sino +lcose i sin'o + i'sin"s : (OS e (os"6 + 4 cos'oi sino-bos 6 Sino -4 cosoi sin'o+ sin"o (cos'6 - 6cos 6 Sin'o + sin's) + i (4cos'6 Sino -4coso sin's) 6 +9
9:53
b)
eiluo)
4-1
co10) = "C. (coso) ismi@"+ "c, ccoso) (ismio) +
4-2
4-3
+
+ 4cos>8 (isonio)+ 1. cos"@. (i-; i-is
isinuo)
+ 4ism@ cos + cos"O
fos 40) = (sui" e + cos" - GcasO Sm o)+i (4sni@coso -
i'sinuo)
وهعه با
+ i 4sino cos O (coso - Sm )
(1-811-cos*o ) cost) + i 4 smi@ cos Ô (1-2 *0)
(Fros"0 - 8asto +1) +
& cos" 0 - 8 coso + )
cos 40
Ami 40
(?
Transcribed Image Text:9:53 b) eiluo) 4-1 co10) = "C. (coso) ismi@"+ "c, ccoso) (ismio) + 4-2 4-3 + + 4cos>8 (isonio)+ 1. cos"@. (i-; i-is isinuo) + 4ism@ cos + cos"O fos 40) = (sui" e + cos" - GcasO Sm o)+i (4sni@coso - i'sinuo) وهعه با + i 4sino cos O (coso - Sm ) (1-811-cos*o ) cost) + i 4 smi@ cos Ô (1-2 *0) (Fros"0 - 8asto +1) + & cos" 0 - 8 coso + ) cos 40 Ami 40 (?
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