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Урюк1
@Урюк1
July 2022
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cosx/4*sin пи/5-sin x/4 * cos пи/5=-корень 2/2
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sedinalana
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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Answers & Comments
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