Find all solutions of the equation sin²x = 2 sin x + 3. The answer is A + Bk where k is any integer and 0 < A < 2π, A B

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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Find all solutions of the equation

\[
\sin^2 x = 2 \sin x + 3.
\]

The answer is \(A + Bk\pi\) where \(k\) is any integer and \(0 < A < 2\pi\),

\[
A = \boxed{\phantom{A}}, \quad B = \boxed{\phantom{B}}.
\]
Transcribed Image Text:Find all solutions of the equation \[ \sin^2 x = 2 \sin x + 3. \] The answer is \(A + Bk\pi\) where \(k\) is any integer and \(0 < A < 2\pi\), \[ A = \boxed{\phantom{A}}, \quad B = \boxed{\phantom{B}}. \]
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