3/8----------9
1------------x
x=(1*9)/(3/8)=24
2)
a-9/16a=5 1/4
16/16a-9/16a=5 1/4
7/16a=5 1/4
a=(5 1/4)/(7/16)=12
3)
(3.1d-d)/0.2=1.05
2.1d=1.05*0.2
d=0.21/2.1=0.1
Прямоугольный треугольник =43,7градуса в см
1)10cos(2arctg(-1/2)
arctg(-1/2)=x;x€(-π/2;π/2)
tgx=-1/2
cos2x=?
1+tg²x=1/cos²x
cos²x=1/(1+tg²x)=1(1+1/4)=4/5
cos2x=2cos²x-1=8/5-1=3/5
10cos(2arctg(-1/2))=10*3/5=2*3=6
2)6√7(sin(arccos√2/3)=?
arccos√2/3=x;cosx=√2/3
x€(-π;π)
sinx=+√(1-2/9)=√7/3
6√7sin(arccos√2/3)=6*√7*√7/3=2*7=14
3)17cos(2arctg(-1/4))=?
arctg(-1/4)=x€(-π/2;π/2)
tgx=-1/4
1+tg²x=1/cos²x
cos²x=1/(1+1/16)=16/17
cos2x=2cos²x-1=2*16/17-1=(32-17)/17=15/17
17cos(2arctg(-1/4))=17*15/17=15
4,8
1,4 1,8
1,3,9,27
1,3 1,9 1,27
<span>x-2 1/3=5 2/7
x=2 1/3+5 2/7
x=2 7/21+5 6/21
x=7 13/21
</span>