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hedahedik
@hedahedik
August 2022
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avilov41
1) 2sin(-a)*cos(pi/2-a)-2cos(-a)*sin(pi/2-a)=
-2sina*sina-2cosa*cosa=-2(sin^2a+cos^2a)=-2*1=-2
2)3sin(pi-a)*cos(pi/2-a)+3sin^2(pi/2-a)=
=3sina*sina+3cos^2a=3(sin^2a+cos^2a)=3
3) (1-tg(-a))(1-tg(pi+a))*cos^2a=(1+tga)(1-tga)*cos^2a=
(1-tg^2a)*cos^2a=cos^2a-sin^2a=cos2a
4) (1+td^2(-a))*(1/(1+ctg^2(-a))=(1+tg^2a*(1/(1+ctg^2a)=
=1/cos^2a*(1:1/sin^2a)=tg^2a.
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Answers & Comments
-2sina*sina-2cosa*cosa=-2(sin^2a+cos^2a)=-2*1=-2
2)3sin(pi-a)*cos(pi/2-a)+3sin^2(pi/2-a)=
=3sina*sina+3cos^2a=3(sin^2a+cos^2a)=3
3) (1-tg(-a))(1-tg(pi+a))*cos^2a=(1+tga)(1-tga)*cos^2a=
(1-tg^2a)*cos^2a=cos^2a-sin^2a=cos2a
4) (1+td^2(-a))*(1/(1+ctg^2(-a))=(1+tg^2a*(1/(1+ctg^2a)=
=1/cos^2a*(1:1/sin^2a)=tg^2a.