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(sin x + cos x)² = (1/5)²
sin² x + 2 sin x cos x + cos²x = 1/25
sin²x + cos²x + 2 sin x cos x = 1/25
1 + 2 sin x cos x = 1/25
2 sin x cos x = (1/25) - 1
2 sinx cos x = -24/25