HOW DID HE GET THE VALUE INSIDE THE CIRCLE cos² x D²+1 For given particular integral multiplying and dividing by 2 will give us 1/ { 2 cos² Xx Ур Yp = = D²+1 S now using trigonometric identity 2 cos²x = 1 + cos 2x we have Ур = Ур 1/{ {{ Xp = = = { ².1 + D²+cos 2x} D+1 1+cos 2x D²+1 1 Yp = = { 0 + 1 + = 4+₁ cos 2x} Ур 0+1 -4+1 = cos 2x 3 Yp = 1/2 = cos 2x Ур 6

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 79E
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HOW DID HE GET THE
VALUE INSIDE THE CIRCLE
Ур
=
For given particular integral
multiplying and dividing by 2 will give us
Yp = 1/ { 2 cos² Xx
D²+1 S
now using trigonometric identity
2 cos²x = 1 + cos 2x
Ур
we have
cos² X
D²+1
Ур
=
=
1/{
{{
Xp = = = {².1 + D²+cos 2x}
1
Yp = = { 0 + ₁ + = 4+₁ cos 2x}
Ур
0+1
-4+1
1+cos 2x
D²+1
cos 2x
3
Yp = =/= cos 2x
Ур
6
Transcribed Image Text:HOW DID HE GET THE VALUE INSIDE THE CIRCLE Ур = For given particular integral multiplying and dividing by 2 will give us Yp = 1/ { 2 cos² Xx D²+1 S now using trigonometric identity 2 cos²x = 1 + cos 2x Ур we have cos² X D²+1 Ур = = 1/{ {{ Xp = = = {².1 + D²+cos 2x} 1 Yp = = { 0 + ₁ + = 4+₁ cos 2x} Ур 0+1 -4+1 1+cos 2x D²+1 cos 2x 3 Yp = =/= cos 2x Ур 6
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