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alex123056
@alex123056
August 2022
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Тригонометрия, выручайте
1+sinx*cosx=5/4
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Verified answer
1 + sinxcosx = 5/4
sinxcosx = 5/4 - 1
sinxcosx = 1/4
Свернем sinxcosx по формуле синуса удвоенного аргумента:
1/2sin2x = 1/4
sin2x = 1/2
2x = (-1)ⁿπ/6 + πn, n ∈ Z
x = (-1)ⁿπ/12 + πn/2, n ∈ Z
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Answers & Comments
Verified answer
1 + sinxcosx = 5/4sinxcosx = 5/4 - 1
sinxcosx = 1/4
Свернем sinxcosx по формуле синуса удвоенного аргумента:
1/2sin2x = 1/4
sin2x = 1/2
2x = (-1)ⁿπ/6 + πn, n ∈ Z
x = (-1)ⁿπ/12 + πn/2, n ∈ Z