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

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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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