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
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
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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