to simplify the expression (sinx+cos x)² are

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 72E
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Question
10.
The steps used by a student to simplify the expression (sin x+cos x)² are
shown below
Step 1:
sin²x+cos²x
Step 2:
sin²x+(1-sin² x)
Step 3:
(1-cos²x)+(1−sin²x)
Step 4: 2-sin²x-cos²x
Explain which step contains error and give the correct final simplified expression.
Transcribed Image Text:10. The steps used by a student to simplify the expression (sin x+cos x)² are shown below Step 1: sin²x+cos²x Step 2: sin²x+(1-sin² x) Step 3: (1-cos²x)+(1−sin²x) Step 4: 2-sin²x-cos²x Explain which step contains error and give the correct final simplified expression.
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