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Урюк1 @Урюк1

July 2022 1 3 Report

cosx/4*sin пи/5-sin x/4 * cos пи/5=-корень 2/2

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Verified answer

Cosx/4*Sin π/5 - Sin x/4 * Cos π/5=- √2/2
-( -Cosx/4*Sin π/5 + Sin x/4 * Cos π/5) = -√2/2
-Sin(x/4 - π/5) = -√2/2
Sin(x/4 - π/5) = √2/2
x/4 - π/5 = (-1)ⁿπ/4 + nπ, n ∈ Z
x/4 = π/5 + (-1)ⁿπ/4 + nπ, n ∈ Z
x = 4π/5 + (-1)ⁿπ + 4nπ, n ∈ Z

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