0,0002*200*2000 = 0,04*2000 = 80
Sia*sinb=1/2(cos(a-b)-cos(a+b)
sinx/2sin3x/2=1/2(cos(-x)-cos2x)=1/2
cosx-cos2x=1
cosx-2cos²x+1=0
cosx=a
2a²-a-1=0
D=1+8=9
a1=(1-3)/4=-1/2⇒cosx=-1/2⇒x=+-2π/3+2πn,n∈z
a2=(1+3)/4=1⇒cosx=1⇒x=2πk,k∈z
(5cos20-4sin110)/cos340= (5cos20-4.sin70)/cos20=(5.cos20-4.cos20)/cos20=cos20/cos20=1
sin110=sin(90+20)=sin70, sin70=cos20
Знак неравенства не меняется,т.к. основание 2 больше 1.