9класс вычислить: cos240градусов cos98cos53+sin98sin93= sin56cos26-cos56sin26= :

mandarinka377 mandarinka377    1   28.06.2019 07:50    9

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ahmad7froukhp00vlz ahmad7froukhp00vlz  02.10.2020 13:44
Cos240=cos(180+60)=-cos60=-1/2

cos98*cos53+sin53*cos98=cos(98-53)=cos45=√2/2

sin56*cos56-cos56*sin26=sin(56-26)sin30=1/2

sin(8π/7)*cos(6π/7)+sin(6π/7)*cos(8π/7)=sin(8π/7+6π/7)=sin2π=0

(1+sin(π+α))/(1-cos(3π/2+α))=cos²(π+α)/(1-cos3π/2+α))
1+sin(π+α)=cos²(π+α)
1-sinα=cos²α
sin²α+cos²α-sinα-cos²α=sin²α-sinα
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