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sin + 4 4 can be expanded to: sin sin 4 4 cos cos 4 o sin - cos 4 sin 4 sin 4 o cos -sin 4 + cos 4 cos 4 o sin -cos 4 + cos -sin 4 4 4

sin + 4 4 can be expanded to: sin sin 4 4 cos cos 4 o sin - cos 4 sin 4 sin 4 o cos -sin 4 + cos 4 cos 4 o sin -cos 4 + cos -sin 4 4 4

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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Question
The image shows a mathematical expression involving trigonometric identities. It presents the expression \(\sin\left(\frac{\pi}{4} + \frac{\pi}{4}\right)\) and asks for its expansion using trigonometric identities. The options given are: - Option 1: \(\sin \frac{\pi}{4} \sin \frac{\pi}{4} - \cos \frac{\pi}{4} \cos \frac{\pi}{4}\) - Option 2: \(\sin \frac{\pi}{4} \cos \frac{\pi}{4} - \sin \frac{\pi}{4} \sin \frac{\pi}{4}\) - Option 3: \(\cos \frac{\pi}{4} \sin \frac{\pi}{4} + \cos \frac{\pi}{4} \cos \frac{\pi}{4}\) - Option 4: \(\sin \frac{\pi}{4} \cos \frac{\pi}{4} + \cos \frac{\pi}{4} \sin \frac{\pi}{4}\) The task is to identify which of these options correctly represents the expanded form of the given trigonometric expression.
Transcribed Image Text:The image shows a mathematical expression involving trigonometric identities. It presents the expression \(\sin\left(\frac{\pi}{4} + \frac{\pi}{4}\right)\) and asks for its expansion using trigonometric identities. The options given are: - Option 1: \(\sin \frac{\pi}{4} \sin \frac{\pi}{4} - \cos \frac{\pi}{4} \cos \frac{\pi}{4}\) - Option 2: \(\sin \frac{\pi}{4} \cos \frac{\pi}{4} - \sin \frac{\pi}{4} \sin \frac{\pi}{4}\) - Option 3: \(\cos \frac{\pi}{4} \sin \frac{\pi}{4} + \cos \frac{\pi}{4} \cos \frac{\pi}{4}\) - Option 4: \(\sin \frac{\pi}{4} \cos \frac{\pi}{4} + \cos \frac{\pi}{4} \sin \frac{\pi}{4}\) The task is to identify which of these options correctly represents the expanded form of the given trigonometric expression.
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