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tdd2014
@tdd2014
September 2021
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Решите уравнение (№13)
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irinan2014
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Всё,что обведено кружочком,запиши в ответ.
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sedinalana
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ОДЗ
cosx≤0⇒x∈[π/2+2πn;3π/2+2πn,n∈z]
cosx=0⇒x=π/2+2πn
-5π≤π/2+2πn≤-7π/2
-10≤1+4n≤-7
-11≤4n≤-8
-11/4≤n≤-2
n=-2⇒x=π/2-4π=-7π/2
√2sinx+1=0
sinx=-1/√2
x=5π/4+2πk (с учетом ОДЗ)
-5π≤5π/4+2πk≤-7π/2
-20≤5+8k≤-14
-25≤8k≤-19
-25/8≤k≤-19/8
k=-3⇒x=5π/4-6π=-19π/4
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Answers & Comments
Verified answer
Всё,что обведено кружочком,запиши в ответ.Verified answer
ОДЗcosx≤0⇒x∈[π/2+2πn;3π/2+2πn,n∈z]
cosx=0⇒x=π/2+2πn
-5π≤π/2+2πn≤-7π/2
-10≤1+4n≤-7
-11≤4n≤-8
-11/4≤n≤-2
n=-2⇒x=π/2-4π=-7π/2
√2sinx+1=0
sinx=-1/√2
x=5π/4+2πk (с учетом ОДЗ)
-5π≤5π/4+2πk≤-7π/2
-20≤5+8k≤-14
-25≤8k≤-19
-25/8≤k≤-19/8
k=-3⇒x=5π/4-6π=-19π/4