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

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

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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