Решение
1) 4sin130° / [sin65° * sin25°] =
= [4*sin(180° - 50°)] / [1/2 * (cos(65° - 25) - cos(65° + 25°)] =
= 8*sin50° / [cos40° - cos90°] = [8*sin(90° - 40°)] / cos40° =
= 8*cos40° / cos40° = 8
4с^2-9m^2=(2c-3m)*(2c+3m)
а)-10градусов=-10*pi/180=-pi/18
б)-30=-30*i/180=-pi/6
в)-50=-50*pi/180=--5pi/18
г)-190=-190*pi/180=-19pi/18
д)-15 =-15*pi/180=-pi/12
е)-135=-135*pi/180=-3pi/4
ж)--450 =-450*pi/180=-5pi/2
з)-600=-600*pi/180=-10pi/3
и)-1000 =-1000*pi/180=-50pi/9
к)-1080 =-1080*pi/180=-6pi
л)-1800 =-1800*pi/180=-10pi
м)-5400=-5400*pi/180=-3pi
y+17x=2;
3y-17x=4,
17х=2-у;
17х=3у-4,
Теперь просто приравниваем:
2-у=3у-4;
4у=6;
у=6/4= 1½.
Ответ: 1½.
1/sin170-√3/sin100=1/sin(180-10)-√3/sin(90+10)=
=1/sin10-√3/cos10=(cos10-√3sin10)/(sin10cos10)=
2*(1/2*cos10-√3/2*sin10)/(1/2*sin20)=4sin(30-10)/sin20=4sin20/sin20=4