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maslovae420
@maslovae420
July 2022
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ПОМОГИТЕ ПОЖАЛУЙСТА!!!!!!!!!!!!!!!
ЗАРАНЕЕ СПАСИБО)))
1. Упростите выражение: (2cos(t)/(sin(2t))−sin(t).
2.Решите уравнение: cos(8x)=cos(4x).
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sedinalana
Verified answer
1
(2cost/2sintcost)-sint=1/sint -sint=(1-sin²t)/sint=cos²t/sint
2
cos8x-cos4x=0
-2sin6xsin2x=0
sin6x=0⇒6x=πn⇒x=πn/6,n∈z
sin2x=πn⇒x=πn/2,n∈z
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Answers & Comments
Verified answer
1(2cost/2sintcost)-sint=1/sint -sint=(1-sin²t)/sint=cos²t/sint
2
cos8x-cos4x=0
-2sin6xsin2x=0
sin6x=0⇒6x=πn⇒x=πn/6,n∈z
sin2x=πn⇒x=πn/2,n∈z