A student was asked to verify the following identity. VWhere did the student make a mistake or is the student correct?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 50E
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4) Listen
A student was asked to verify the following identity. Where did the student make a
mistake or is the student correct?
Verify the following identity:
sin(2x) + 1 (sin x + cos x)?
Expand (sin x+ cos x)2
sin(2x) + 1 = sin x + cos x
Replace sinx + cosx with 1
sin(2x) + 1 =
Tdentity muse be false
W
62°F Cloudy ^
Transcribed Image Text:4) Listen A student was asked to verify the following identity. Where did the student make a mistake or is the student correct? Verify the following identity: sin(2x) + 1 (sin x + cos x)? Expand (sin x+ cos x)2 sin(2x) + 1 = sin x + cos x Replace sinx + cosx with 1 sin(2x) + 1 = Tdentity muse be false W 62°F Cloudy ^
sin(2x) +1 3=
ldentity must be fals
The student did not expand (sin x + cos x) correctly.
O The student needs to subtract 1 from both sides of the equation.
You cannot verify the identity because the identity is false.
The student should not have replaced Sin
x + cos²x with 1.
2.
2.
Transcribed Image Text:sin(2x) +1 3= ldentity must be fals The student did not expand (sin x + cos x) correctly. O The student needs to subtract 1 from both sides of the equation. You cannot verify the identity because the identity is false. The student should not have replaced Sin x + cos²x with 1. 2. 2.
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