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Dzagoeva13
@Dzagoeva13
July 2022
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Помогите пожалуйста. √2sin(x/4-П/3)=-1
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Санечка69
Verified answer
√2sin(x/4 - π
/3) = -1
sin(x/4 - π/3) = -1/√2
х/4 - π/3 = (-1)ⁿ · (-π/4) + πn, n ∈ Z
x/4 - π/3 = (-1)ⁿ⁺¹ · π/4
+ πn, n ∈ Z
x/4 =
π/3 + (-1)ⁿ⁺¹ · π/4 + πn, n ∈ Z
x = 4π/3 + (-1)ⁿ⁺¹ · π
+ 4πn, n ∈ Z
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Answers & Comments
Verified answer
√2sin(x/4 - π/3) = -1sin(x/4 - π/3) = -1/√2
х/4 - π/3 = (-1)ⁿ · (-π/4) + πn, n ∈ Z
x/4 - π/3 = (-1)ⁿ⁺¹ · π/4 + πn, n ∈ Z
x/4 = π/3 + (-1)ⁿ⁺¹ · π/4 + πn, n ∈ Z
x = 4π/3 + (-1)ⁿ⁺¹ · π + 4πn, n ∈ Z