1) tg135 *cos(-300)=tg(90+45) * cos300= -ctg45 * cos(360-60)= -1 *cos60= -1/2
2) 8 *tg7π/3 * tg11π/6= 8 * tg(2π+π/3) * tg(2π-π/6)=8*tgπ/3 * (-tgπ/6)= -8*√3 * √3/3= -8
3) 8 tg150* sin(-300) * cos720= 8 tg(180-30) *(-sin(360-60)) * cos(2*360)=
=8* (-tg30) * sin60 *1=-8 * √3/3 *√3/2= -4
2(cos3x-cosx)+sin2x=0
-4sinxsin2x+sin2x=0
sin2x(-4sinx+1)=0
sin2x=0πn⇒x=πn/2,n∈z
3π/2≤πn/2≤3π
3≤n≤6
n=3⇒x=3π/2
n=4⇒x=2π
n=5⇒x=5π/2
n=6⇒x=3π
-4sinx+1=0
sinx=1/4⇒x=arcsin1/4+2πk,k∈z
x=arcsin1/4
x=π-arcsin1/4
x=2π+arcsin1/4
x=3π-arcsin1/4
1^2-1,6^2-64х+2,56х=0
1-2,56х-64х+2,56х=0
1-64х=0
-64х=-1
х= 1/64
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