Page 173 - Math Grade 11 (Advance)

PROEUS DARA

3
(coscp + isincp) = cos3cp + isin3cp '1

3
2
3
sin 3 <p = 3 cos cp sin cp-sin cp = -4 sin cp + 3 sin cp
..
- nHlil n = 4
ffi'i:Hi5ru~ n.n csd ru't5nt9 mfl
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( coscp + zsmcp )4 = cos cp + cos <p zsmcp + cos cp zsmcp + coscp zsmcp + zsmcp )4
6
4"
4"
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. 3
3
4
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. 4
2
= cos cp+ 1cos cpsmcp- cos cpsm cp- 1coscpsm cp+ sm cp
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4
6
2
.
3
. 2
. 4
4
= cos cp + sm <p- cos cpsm cp + z cos cpsmcp- coscpsm cp
4
(coscp+isincp) = cos4cp+isin4cp '1
3.
t{j w mytu9 n tscr~s~~u z tsut~ms w" = z '1 gL~~Uttmn.nmu;'tsd~s
w ~z=r(coscp+isin<p) sb w=s(cosa+isina) '1
w" = [s(cosa+isina)f
=s"(cosna+isin na) '1
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tf:$1115 w" = z &~Ql£ s"(cos na+isin na) = r(coscp+isincp) ti££nl..ltit1Hhlffl
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cos na+isin na = coscp+isincp t~9l~Q1£ cos na = coscp, na = cp+2k:rr
2
a = <r + k:rr &l:l ru k E z '1
n
dstu a= <r+ k:rr sb s = nJr nb9L~~Lihmn.nmLntsdssfiou w t~ms
2
IJ Jl '1 1J IN
2
w = 'ifr[cos(cp+n k:rr) +isin(cp+~k:rr)J '1

d5t~dstu k = 0, 1, 2, 3, ...... , n-1 t~Ql£ n 11tu9 n tt:hb')fflt£G££Rtlu z '1
IJ - li "" IJ 1""

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