Let z = x+iy. Verify each of the following identities: sin 2₁ sin 2₂ 1. cos(21 +22) = COS Z1 COS Z2 2. cos ¹(z) i log (z+i(1-z²)¹/2) d 3. COS 2 = dz -1 (1-z2)¹/2
Let z = x+iy. Verify each of the following identities: sin 2₁ sin 2₂ 1. cos(21 +22) = COS Z1 COS Z2 2. cos ¹(z) i log (z+i(1-z²)¹/2) d 3. COS 2 = dz -1 (1-z2)¹/2
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 32E
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Question
question 1 2 3
![1. cos(2₁ +22): = COS Z1 COS Z2
2. cos ¹(z) i log (z+i(1-z²)¹/2)
3. COS 2 =
dz
4.
5. tanh
|tanz|=tanc+tanh’y
1 1+z
log
1-z
2=-
Let z = x+iy. Verify each of the following identities:
sin 2₁ sin 22
2
-1
(1-2²)¹/2
6. cos z = cos x cosh y
i sin x sinh y](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F57d18e04-45a7-4ff9-893b-371493a1a0d5%2F2a273044-1c74-43c0-9e15-94cfb7eb1a14%2Fenctcpf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. cos(2₁ +22): = COS Z1 COS Z2
2. cos ¹(z) i log (z+i(1-z²)¹/2)
3. COS 2 =
dz
4.
5. tanh
|tanz|=tanc+tanh’y
1 1+z
log
1-z
2=-
Let z = x+iy. Verify each of the following identities:
sin 2₁ sin 22
2
-1
(1-2²)¹/2
6. cos z = cos x cosh y
i sin x sinh y
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