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nika15s150798
@nika15s150798
August 2022
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Помогите решить, пожалуйста. Желательно с подробным решением!
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m11m
Г)
sin(π-α) * ctg (3π/2 +α)
=
sinα*(-tgα)
= -1
tg(2π+α)*cos(π/2-α) tgα * sinα
sin(π-α)=-sin(-α)=sinα
cos(π/2-α)=-sin(-α)=sinα
tg(2π+α)=
sin(2π+α)
=
sinα
=tgα
cos(2π+α) cosα
ctg(3π/2+α)=ctg(π+π/2+α)=ctg(π/2+α)=
cos(π/2+α)
=
-sinα
=-tgα
sin(π/2+α) cosα
д) sin(450°+x) cos(540°+x) cos(990°-x)=cosx * (-cosx)*(-sinx)=cos²x sinx=
=0.19 * 0.9=0.171
sin(450°+x)=sin(360°+90°+x)=sin(90°+x)=cosx
cos(540°+x)=cos(360°+180°+x)=cos(180°+x)=-cosx
cos(990°-x)=cos(1080°-90°-x)=cos(6*360°+(-90°-x))=cos(-90°-x)=
cos(-(90°+x))=cos(90°+x)=-sinx.
sinx=0.9
cos²x=1-sin²x=1-(0.9)²=1-0.81=0.19
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Answers & Comments
tg(2π+α)*cos(π/2-α) tgα * sinα
sin(π-α)=-sin(-α)=sinα
cos(π/2-α)=-sin(-α)=sinα
tg(2π+α)=sin(2π+α)= sinα =tgα
cos(2π+α) cosα
ctg(3π/2+α)=ctg(π+π/2+α)=ctg(π/2+α)=cos(π/2+α)=-sinα =-tgα
sin(π/2+α) cosα
д) sin(450°+x) cos(540°+x) cos(990°-x)=cosx * (-cosx)*(-sinx)=cos²x sinx=
=0.19 * 0.9=0.171
sin(450°+x)=sin(360°+90°+x)=sin(90°+x)=cosx
cos(540°+x)=cos(360°+180°+x)=cos(180°+x)=-cosx
cos(990°-x)=cos(1080°-90°-x)=cos(6*360°+(-90°-x))=cos(-90°-x)=
cos(-(90°+x))=cos(90°+x)=-sinx.
sinx=0.9
cos²x=1-sin²x=1-(0.9)²=1-0.81=0.19