aluate the integral [ sin³0cosº0d0 by trigonometric transformation, we use the identity; 1+ cos20 cos²0= 2 sin20 sin cose= 2 1- cos20 sin²0= 2 sin²0=1-cos²0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 4E
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To evaluate the integral
A cos²0=
B
Ssi
sin ³0 cos Ode by trigonometric transformation, we use the identity;
D
1+ cos20
2
sin cose=
sin20
2
1 - cos20
sin²0=
2
sin²0=1-cos²0
Transcribed Image Text:To evaluate the integral A cos²0= B Ssi sin ³0 cos Ode by trigonometric transformation, we use the identity; D 1+ cos20 2 sin cose= sin20 2 1 - cos20 sin²0= 2 sin²0=1-cos²0
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