Объяснение:
9) tga=V5/ 5, (V-корень), по формуле tg2a=2tga/(1-tg^2 a)=
2*(V5/5) /(1-1/5)=2V5/ 5 :4/5=2V5 /4=V5/ 2, tg2a=V5/ 2,
2tg^2 2a=2*(V5/ 2)^2=2*5/4=5/2=2,5
10. 1) sin10+sin50=2sin(60/2)*cos(-20)=2*sin30*cos20=2*1/2*
cos20=cos20
2) sin70-sin10=2sin(60/2)*cos(80/2)=2*1/2*cos40=cos40
3) cos80-cos20=-2sin(100/2)*sin(60/2)=-2sin50*sin30=-2sin50*1/2=
-sin50
Объяснение:
9) tga=V5/ 5, (V-корень), по формуле tg2a=2tga/(1-tg^2 a)=
2*(V5/5) /(1-1/5)=2V5/ 5 :4/5=2V5 /4=V5/ 2, tg2a=V5/ 2,
2tg^2 2a=2*(V5/ 2)^2=2*5/4=5/2=2,5
10. 1) sin10+sin50=2sin(60/2)*cos(-20)=2*sin30*cos20=2*1/2*
cos20=cos20
2) sin70-sin10=2sin(60/2)*cos(80/2)=2*1/2*cos40=cos40
3) cos80-cos20=-2sin(100/2)*sin(60/2)=-2sin50*sin30=-2sin50*1/2=
-sin50