3. Given and z2 =? 57 +i sin Z1 where 0se< 2x . 4 = 12 +i sin find cos+i sin 2 37 O 1= 9 cos +isin 377 2 2 1= 36| cos +i sin 6 6 37 +i sin 2 cos

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 44E
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Question
57
+i sin
57
3.
Given
cotisin and z, = 3
Z1
= 12 cos-+i sin
find
where 0se<2 .
21
cos-+i sin
2
22
377
+isin
2
377
21
= 91 COS
22
21 - 36| cos
+i sin
6
22
-+i sin
2
:41 COS
22
2
27
and z2 = 2 cos+isin-
3
4.
Find the quotient of z
= cos+i sin
3
where 0se<2x -
12
12
21_ 1
=- CiS
22 2
Z1 = 2 cis-
12
%3!
22
12
21 _ 1
37
=- CiS
z2
2
4
377
-= 2 cis-
4
Z1
22
Transcribed Image Text:57 +i sin 57 3. Given cotisin and z, = 3 Z1 = 12 cos-+i sin find where 0se<2 . 21 cos-+i sin 2 22 377 +isin 2 377 21 = 91 COS 22 21 - 36| cos +i sin 6 22 -+i sin 2 :41 COS 22 2 27 and z2 = 2 cos+isin- 3 4. Find the quotient of z = cos+i sin 3 where 0se<2x - 12 12 21_ 1 =- CiS 22 2 Z1 = 2 cis- 12 %3! 22 12 21 _ 1 37 =- CiS z2 2 4 377 -= 2 cis- 4 Z1 22
1.
Given z
2 cos -+i sin
and
Z2 =
cos
+i sin
find zj2, where 0se< 2x.
117
117
+i sin
12
Cos -
12
= 5 cos - +isin
24
24
57
+i sin
12
57
2122 = 5| cos
12,
57
57
coS
+isin
12
12
2. Find the product of z
(cos 60°+i sin 60°) and z2 = 9(cos 20° +i sin 20°) where
0se<360°.
122 = 9.67 cis 80°
O zzz = 6 cis 80°
2,z2 = 6 cis40°
2
-cis 40°
27
Transcribed Image Text:1. Given z 2 cos -+i sin and Z2 = cos +i sin find zj2, where 0se< 2x. 117 117 +i sin 12 Cos - 12 = 5 cos - +isin 24 24 57 +i sin 12 57 2122 = 5| cos 12, 57 57 coS +isin 12 12 2. Find the product of z (cos 60°+i sin 60°) and z2 = 9(cos 20° +i sin 20°) where 0se<360°. 122 = 9.67 cis 80° O zzz = 6 cis 80° 2,z2 = 6 cis40° 2 -cis 40° 27
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