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paneg321
@paneg321
August 2022
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Найдите sin(п/2+a/2) , если cosa=-1/2 и п
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Найдите sin(п/2+a/2) , если cosa=-1/2 и п<a<3π/2
sin(п/2+a/2)=cos(a/2), п<a<3π/2 ⇒ п/2<a/2<3π/4, ⇒cos(a/2)<0,
cos²(a/2)=(1+cosa)/2 ⇒cos(a/2)= - √[(1+cosa)/2 ]= -√[(1-1/2)/2]=-√(1/4]=-1/2
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Verified answer
Найдите sin(п/2+a/2) , если cosa=-1/2 и п<a<3π/2sin(п/2+a/2)=cos(a/2), п<a<3π/2 ⇒ п/2<a/2<3π/4, ⇒cos(a/2)<0,
cos²(a/2)=(1+cosa)/2 ⇒cos(a/2)= - √[(1+cosa)/2 ]= -√[(1-1/2)/2]=-√(1/4]=-1/2