A Tangent Relation

★ 7/10trigonometry Extrema Trigonometric Identities

Problem

Given $2\tan(\alpha + \beta) = 3\tan\alpha$ , find the maximum value of

A = \sin^2\beta - \sin(2\alpha + \beta).

Answer

Solution

Difficulty	7/10
Topics	trigonometry, Extrema, Trigonometric Identities

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