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Home » Total number of ways to choose 4 theories from 12: - Crankk.io

Total number of ways to choose 4 theories from 12: - Crankk.io

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 Determine the maximum value of \((\sin x + \cos x)^2 + (\sin x - \cos x)^2\).

📌 Let us simplify the expression \((\sin x + \cos x)^2 + (\sin x - \cos x)^2\).

📌 First, expanding each term:

📌 Adding these two expressions:

📌 Simplify by combining like terms:

📌 = 2\sin^2 x + 2\cos^2 x = 2(\sin^2 x + \cos^2 x)

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