If sin(x+y) - - sinx + 뜰 conx, what is the value of y? O 0 이용 6

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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The image presents a trigonometry problem and a set of multiple-choice options. It asks for the value of \( y \) in the equation:

\[ \sin(x + y) = \frac{1}{2} \sin x + \frac{\sqrt{3}}{2} \cos x \]

The answer choices provided are:

- \( \frac{\pi}{2} \)
- \( \frac{\pi}{3} \)
- \( \frac{\pi}{4} \)
- \( \frac{\pi}{6} \) 

This problem involves solving for the angle \( y \) by using the given trigonometric identity.
Transcribed Image Text:The image presents a trigonometry problem and a set of multiple-choice options. It asks for the value of \( y \) in the equation: \[ \sin(x + y) = \frac{1}{2} \sin x + \frac{\sqrt{3}}{2} \cos x \] The answer choices provided are: - \( \frac{\pi}{2} \) - \( \frac{\pi}{3} \) - \( \frac{\pi}{4} \) - \( \frac{\pi}{6} \) This problem involves solving for the angle \( y \) by using the given trigonometric identity.
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