Sin²x+cos²x-6сos²x-4sinxcosx-cos²x+sin²x=0/cos²x
2tg²x-4tgx-6=0
tg²x-2tgx-3=0
tgx=a
a²-2a-3=0
a1+a2=2 U a1*a2=-3
a1=-1⇒tgx=-1⇒x=-π/4+πn,n∈z
a2=3⇒tgx=3⇒x=arctg3+πk,k∈z
1)y=2sinx
y'=2cosx y'=0 при 2cosx=0 cosx=0 x=π/2+πn
2)<span>y=2sin(x+π/3)</span>
<span> y'=2cos(x+π/3) y'=0 при cos(x+π/3)=0 x+π/3=π/2+πn x=π/6+πn</span>
<span>3)y=<span>cos 0,5x</span></span>
y'= -0,5sin0,5x y'=0 при -0,5sin0,5x=0 sin0,5x=0 0,5x=πn |*2 x=2πn
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4(a²-2a+1)+6a-a²-12+2a-13= 4a²-8a+4+6a-a²-12+2a-13= 3a²-21
5(a²-8a+16)-7a+a²+28-4a-18a+6= 5a²-40a+80-7a+a²+28-4a-18a+6= 6a²-69a+114