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Andrey54rus
@Andrey54rus
July 2022
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Определить, какое из чисел больше: sin1(градусов) +sin4(градусов) или sin2(градусов) +sin3(градусов)
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DariosI
Verified answer
Sin4+sin1=2sin(4+1)/2*cos(4-2)/2=2sin5/2*cos1
sin2+sin3=2sin(2+3)/5*cos(3-2)/2=2sin5/2*cos1/2
2sin5/2*cos1 2sin5/2*cos1/2 : 2sin5/2
cos1 cos1/2 поскольку косинус убывает от 0 до π, то
cos1<cos1/2
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Answers & Comments
Verified answer
Sin4+sin1=2sin(4+1)/2*cos(4-2)/2=2sin5/2*cos1sin2+sin3=2sin(2+3)/5*cos(3-2)/2=2sin5/2*cos1/2
2sin5/2*cos1 2sin5/2*cos1/2 : 2sin5/2
cos1 cos1/2 поскольку косинус убывает от 0 до π, то
cos1<cos1/2